76856472900 has 81 divisors (see below), whose sum is σ = 240928416183. Its totient is φ = 20492841600.

The previous prime is 76856472863. The next prime is 76856472941. The reversal of 76856472900 is 927465867.

The square root of 76856472900 is 277230.

It is a perfect power (a square), and thus also a powerful number.

76856472900 is a `hidden beast` number, since 7 + 6 + 8 + 564 + 72 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20277190404 + 56579282496 = 142398^2 + 237864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8312280 + ... + 8321520.

Almost surely, 2^76856472900 is an apocalyptic number.

76856472900 is the 277230-th square number.

It is an amenable number.

76856472900 is an abundant number, since it is smaller than the sum of its proper divisors (164071943283).

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

76856472900 is an equidigital number, since it uses as much as digits as its factorization.

76856472900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18502 (or 9251 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 76856472900 in words is "seventy-six billion, eight hundred fifty-six million, four hundred seventy-two thousand, nine hundred".