76479338400 has 144 divisors (see below), whose sum is σ = 249451096608. Its totient is φ = 20352640000.

The previous prime is 76479338381. The next prime is 76479338413. The reversal of 76479338400 is 483397467.

It is a happy 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, 1145950 + ... + 1210850.

It is an arithmetic number, because the mean of its divisors is an integer number (1732299282).

Almost surely, 2^76479338400 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 76479338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124725548304).

76479338400 is an abundant number, since it is smaller than the sum of its proper divisors (172971758208).

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

76479338400 is a wasteful number, since it uses less digits than its factorization.

76479338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65415 (or 65402 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 76479338400 in words is "seventy-six billion, four hundred seventy-nine million, three hundred thirty-eight thousand, four hundred".