76816583424 has 648 divisors, whose sum is σ = 272192514048. Its totient is φ = 20743188480.

The previous prime is 76816583413. The next prime is 76816583453. The reversal of 76816583424 is 42438561867.

It is a happy number.

76816583424 is a `hidden beast` number, since 7 + 6 + 8 + 16 + 583 + 42 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164489239 + ... + 164489705.

It is an arithmetic number, because the mean of its divisors is an integer number (420050176).

Almost surely, 2^76816583424 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 76816583424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136096257024).

76816583424 is an abundant number, since it is smaller than the sum of its proper divisors (195375930624).

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

76816583424 is a wasteful number, since it uses less digits than its factorization.

76816583424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 557 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 76816583424 in words is "seventy-six billion, eight hundred sixteen million, five hundred eighty-three thousand, four hundred twenty-four".