76227564400 has 120 divisors (see below), whose sum is σ = 197578447920. Its totient is φ = 28095006720.

The previous prime is 76227564397. The next prime is 76227564419. The reversal of 76227564400 is 446572267.

It is a super-2 number, since 2×76227564400² (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 23 ways as a sum of consecutive naturals, for example, 2945919 + ... + 2971681.

It is an arithmetic number, because the mean of its divisors is an integer number (1646487066).

Almost surely, 2^76227564400 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 76227564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98789223960).

76227564400 is an abundant number, since it is smaller than the sum of its proper divisors (121350883520).

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

76227564400 is a wasteful number, since it uses less digits than its factorization.

76227564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26363 (or 26352 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The spelling of 76227564400 in words is "seventy-six billion, two hundred twenty-seven million, five hundred sixty-four thousand, four hundred".