76333715920 has 160 divisors (see below), whose sum is σ = 221498323200. Its totient is φ = 23767633920.

The previous prime is 76333715917. The next prime is 76333715947. The reversal of 76333715920 is 2951733367.

It is a super-2 number, since 2×76333715920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6455934 + ... + 6467746.

It is an arithmetic number, because the mean of its divisors is an integer number (1384364520).

Almost surely, 2^76333715920 is an apocalyptic number.

76333715920 is a gapful number since it is divisible by the number (70) 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 76333715920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110749161600).

76333715920 is an abundant number, since it is smaller than the sum of its proper divisors (145164607280).

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

76333715920 is a wasteful number, since it uses less digits than its factorization.

76333715920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12893 (or 12887 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 46.

The spelling of 76333715920 in words is "seventy-six billion, three hundred thirty-three million, seven hundred fifteen thousand, nine hundred twenty".