76413288 has 128 divisors (see below), whose sum is σ = 236390400. Its totient is φ = 20093184.

The previous prime is 76413277. The next prime is 76413329. The reversal of 76413288 is 88231467.

It is a nude number because it is divisible by every one of its digits.

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, 117781 + ... + 118427.

It is an arithmetic number, because the mean of its divisors is an integer number (1846800).

Almost surely, 2^76413288 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 76413288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118195200).

76413288 is an abundant number, since it is smaller than the sum of its proper divisors (159977112).

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

76413288 is a wasteful number, since it uses less digits than its factorization.

76413288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 715 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 76413288 is about 8741.4694416900. The cubic root of 76413288 is about 424.3487844466.

The spelling of 76413288 in words is "seventy-six million, four hundred thirteen thousand, two hundred eighty-eight".