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804400080 = 243511535749
BaseRepresentation
bin101111111100100…
…010101111010000
32002001121202110120
4233330202233100
53121411300310
6211453030240
725635200511
oct5774425720
92061552416
10804400080
11383076760
121a5485380
13ca8638a3
1478b92a08
154a945b70
hex2ff22bd0

804400080 has 160 divisors (see below), whose sum is σ = 2772144000. Its totient is φ = 191293440.

The previous prime is 804400063. The next prime is 804400087. The reversal of 804400080 is 80004408.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 804400080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804400087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137046 + ... + 142794.

It is an arithmetic number, because the mean of its divisors is an integer number (17325900).

Almost surely, 2804400080 is an apocalyptic number.

804400080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386072000).

804400080 is an abundant number, since it is smaller than the sum of its proper divisors (1967743920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

804400080 is a wasteful number, since it uses less digits than its factorization.

804400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5829 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 804400080 is about 28361.9477469373. The cubic root of 804400080 is about 930.0166027791.

Adding to 804400080 its reverse (80004408), we get a palindrome (884404488).

The spelling of 804400080 in words is "eight hundred four million, four hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 53 55 60 66 80 88 106 110 120 132 159 165 176 212 220 240 264 265 318 330 424 440 528 530 583 636 660 795 848 880 1060 1166 1272 1320 1590 1749 2120 2332 2544 2640 2915 3180 3498 4240 4664 5749 5830 6360 6996 8745 9328 11498 11660 12720 13992 17247 17490 22996 23320 27984 28745 34494 34980 45992 46640 57490 63239 68988 69960 86235 91984 114980 126478 137976 139920 172470 189717 229960 252956 275952 304697 316195 344940 379434 459920 505912 609394 632390 689880 758868 914091 948585 1011824 1218788 1264780 1379760 1517736 1523485 1828182 1897170 2437576 2529560 3035472 3046970 3351667 3656364 3794340 4570455 4875152 5059120 6093940 6703334 7312728 7588680 9140910 10055001 12187880 13406668 14625456 15177360 16758335 18281820 20110002 24375760 26813336 33516670 36563640 40220004 50275005 53626672 67033340 73127280 80440008 100550010 134066680 160880016 201100020 268133360 402200040 804400080