807874560 has 260 divisors, whose sum is σ = 2901973008. Its totient is φ = 214990848.

The previous prime is 807874549. The next prime is 807874567. The reversal of 807874560 is 65478708.

807874560 is a `hidden beast` number, since 8 + 0 + 7 + 87 + 4 + 560 = 666.

It is a super-2 number, since 2×807874560² = 1305322609390387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (807874567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658637 + ... + 1659123.

Almost surely, 2^807874560 is an apocalyptic number.

807874560 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 807874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450986504).

807874560 is an abundant number, since it is smaller than the sum of its proper divisors (2094098448).

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

807874560 is an equidigital number, since it uses as much as digits as its factorization.

807874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 807874560 is about 28423.1342395592. The cubic root of 807874560 is about 931.3536997864.

The spelling of 807874560 in words is "eight hundred seven million, eight hundred seventy-four thousand, five hundred sixty".