76767532920 has 320 divisors, whose sum is σ = 281689974720. Its totient is φ = 18637019136.

The previous prime is 76767532871. The next prime is 76767532931. The reversal of 76767532920 is 2923576767.

It is a super-2 number, since 2×76767532920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3062277 + ... + 3087243.

It is an arithmetic number, because the mean of its divisors is an integer number (880281171).

Almost surely, 2^76767532920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76767532920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140844987360).

76767532920 is an abundant number, since it is smaller than the sum of its proper divisors (204922441800).

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

76767532920 is a wasteful number, since it uses less digits than its factorization.

76767532920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25076 (or 25063 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 76767532920 in words is "seventy-six billion, seven hundred sixty-seven million, five hundred thirty-two thousand, nine hundred twenty".