76120832400 has 480 divisors, whose sum is σ = 265033036800. Its totient is φ = 18614937600.

The previous prime is 76120832399. The next prime is 76120832479. The reversal of 76120832400 is 423802167.

It is a super-2 number, since 2×76120832400² (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, 95508802 + ... + 95509598.

It is an arithmetic number, because the mean of its divisors is an integer number (552152160).

Almost surely, 2^76120832400 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 76120832400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132516518400).

76120832400 is an abundant number, since it is smaller than the sum of its proper divisors (188912204400).

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

76120832400 is a wasteful number, since it uses less digits than its factorization.

76120832400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 76120832400 in words is "seventy-six billion, one hundred twenty million, eight hundred thirty-two thousand, four hundred".