76924008480 has 192 divisors, whose sum is σ = 264943623168. Its totient is φ = 18605583360.

The previous prime is 76924008479. The next prime is 76924008563. The reversal of 76924008480 is 8480042967.

It is a super-2 number, since 2×76924008480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2322597 + ... + 2355483.

It is an arithmetic number, because the mean of its divisors is an integer number (1379914704).

Almost surely, 2^76924008480 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 76924008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132471811584).

76924008480 is an abundant number, since it is smaller than the sum of its proper divisors (188019614688).

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

76924008480 is a wasteful number, since it uses less digits than its factorization.

76924008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33359 (or 33351 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 76924008480 in words is "seventy-six billion, nine hundred twenty-four million, eight thousand, four hundred eighty".