76687316600832 has 864 divisors, whose sum is σ = 270417028845600. Its totient is φ = 21646106689536.

The previous prime is 76687316600819. The next prime is 76687316600957. The reversal of 76687316600832 is 23800661378667.

76687316600832 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 7 + 3 + 16 + 600 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 76687316600832.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2023980544 + ... + 2024018432.

It is an arithmetic number, because the mean of its divisors is an integer number (312982672275).

Almost surely, 2^{76687316600832} is an apocalyptic number.

76687316600832 is a gapful number since it is divisible by the number (72) 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 76687316600832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135208514422800).

76687316600832 is an abundant number, since it is smaller than the sum of its proper divisors (193729712244768).

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

76687316600832 is an equidigital number, since it uses as much as digits as its factorization.

76687316600832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38023 (or 37984 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 76687316600832 in words is "seventy-six trillion, six hundred eighty-seven billion, three hundred sixteen million, six hundred thousand, eight hundred thirty-two".