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804287680 = 26571721121
BaseRepresentation
bin101111111100000…
…111010011000000
32002001102001021121
4233330013103000
53121344201210
6211450402024
725634222020
oct5774072300
92061361247
10804287680
11382aaa269
121a5430314
13ca824691
1478b63a80
154a9226da
hex2ff074c0

804287680 has 112 divisors (see below), whose sum is σ = 2317674816. Its totient is φ = 259522560.

The previous prime is 804287657. The next prime is 804287683. The reversal of 804287680 is 86782408.

804287680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (804287683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27520 + ... + 48640.

Almost surely, 2804287680 is an apocalyptic number.

804287680 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 804287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158837408).

804287680 is an abundant number, since it is smaller than the sum of its proper divisors (1513387136).

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

804287680 is a wasteful number, since it uses less digits than its factorization.

804287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21162 (or 21152 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 804287680 is about 28359.9661494861. The cubic root of 804287680 is about 929.9732832345.

The spelling of 804287680 in words is "eight hundred four million, two hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 680 952 1088 1120 1190 1360 1904 2240 2380 2720 3808 4760 5440 7616 9520 19040 21121 38080 42242 84484 105605 147847 168968 211210 295694 337936 359057 422420 591388 675872 718114 739235 844840 1182776 1351744 1436228 1478470 1689680 1795285 2365552 2513399 2872456 2956940 3379360 3590570 4731104 5026798 5744912 5913880 6758720 7181140 9462208 10053596 11489824 11827760 12566995 14362280 20107192 22979648 23655520 25133990 28724560 40214384 47311040 50267980 57449120 80428768 100535960 114898240 160857536 201071920 402143840 804287680