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808000080 = 243519374789
BaseRepresentation
bin110000001010010…
…001101001010000
32002022101122201220
4300022101221100
53123322000310
6212102125040
726010613236
oct6012215120
92068348656
10808000080
11385105468
121a6720780
13cb524374
147944c956
154ae07670
hex30291a50

808000080 has 160 divisors (see below), whose sum is σ = 2708457600. Its totient is φ = 198567936.

The previous prime is 808000073. The next prime is 808000091. The reversal of 808000080 is 80000808.

It is a happy number.

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 808000080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166326 + ... + 171114.

It is an arithmetic number, because the mean of its divisors is an integer number (16927860).

Almost surely, 2808000080 is an apocalyptic number.

808000080 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 808000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354228800).

808000080 is an abundant number, since it is smaller than the sum of its proper divisors (1900457520).

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

808000080 is a wasteful number, since it uses less digits than its factorization.

808000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 808000080 is about 28425.3422142988. The cubic root of 808000080 is about 931.4019323001.

Adding to 808000080 its reverse (80000808), we get a palindrome (888000888).

The spelling of 808000080 in words is "eight hundred eight million, eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 37 38 40 48 57 60 74 76 80 95 111 114 120 148 152 185 190 222 228 240 285 296 304 370 380 444 456 555 570 592 703 740 760 888 912 1110 1140 1406 1480 1520 1776 2109 2220 2280 2812 2960 3515 4218 4440 4560 4789 5624 7030 8436 8880 9578 10545 11248 14060 14367 16872 19156 21090 23945 28120 28734 33744 38312 42180 47890 56240 57468 71835 76624 84360 90991 95780 114936 143670 168720 177193 181982 191560 229872 272973 287340 354386 363964 383120 454955 531579 545946 574680 708772 727928 885965 909910 1063158 1091892 1149360 1364865 1417544 1455856 1771930 1819820 2126316 2183784 2657895 2729730 2835088 3366667 3543860 3639640 4252632 4367568 5315790 5459460 6733334 7087720 7279280 8505264 10100001 10631580 10918920 13466668 14175440 16833335 20200002 21263160 21837840 26933336 33666670 40400004 42526320 50500005 53866672 67333340 80800008 101000010 134666680 161600016 202000020 269333360 404000040 808000080