76937720832 has 880 divisors, whose sum is σ = 284388891200. Its totient is φ = 20483850240.

The previous prime is 76937720809. The next prime is 76937720863. The reversal of 76937720832 is 23802773967.

76937720832 is a `hidden beast` number, since 7 + 69 + 377 + 208 + 3 + 2 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1261274082 + ... + 1261274142.

Almost surely, 2^76937720832 is an apocalyptic number.

76937720832 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 76937720832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142194445600).

76937720832 is an abundant number, since it is smaller than the sum of its proper divisors (207451170368).

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

76937720832 is an equidigital number, since it uses as much as digits as its factorization.

76937720832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 76937720832 in words is "seventy-six billion, nine hundred thirty-seven million, seven hundred twenty thousand, eight hundred thirty-two".