76907836320 has 576 divisors, whose sum is σ = 287820086400. Its totient is φ = 17209221120.

The previous prime is 76907836309. The next prime is 76907836331. The reversal of 76907836320 is 2363870967.

It is an interprime number because it is at equal distance from previous prime (76907836309) and next prime (76907836331).

It is a super-2 number, since 2×76907836320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 335841966 + ... + 335842194.

It is an arithmetic number, because the mean of its divisors is an integer number (499687650).

Almost surely, 2^76907836320 is an apocalyptic number.

76907836320 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 76907836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143910043200).

76907836320 is an abundant number, since it is smaller than the sum of its proper divisors (210912250080).

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

76907836320 is a wasteful number, since it uses less digits than its factorization.

76907836320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 76907836320 in words is "seventy-six billion, nine hundred seven million, eight hundred thirty-six thousand, three hundred twenty".