76232314404 has 63 divisors (see below), whose sum is σ = 200057452833. Its totient is φ = 25405801632.

The previous prime is 76232314351. The next prime is 76232314421. The reversal of 76232314404 is 40441323267.

The square root of 76232314404 is 276102.

It is a perfect power (a square), and thus also a powerful number.

76232314404 is a `hidden beast` number, since 7 + 6 + 232 + 3 + 14 + 404 = 666.

It can be written as a sum of positive squares in only one way, i.e., 743652900 + 75488661504 = 27270^2 + 274752^2 .

It is a super-2 number, since 2×76232314404² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 14906952 + ... + 14912064.

Almost surely, 2^76232314404 is an apocalyptic number.

76232314404 is the 276102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76232314404

76232314404 is an abundant number, since it is smaller than the sum of its proper divisors (123825138429).

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

76232314404 is an frugal number, since it uses more digits than its factorization.

76232314404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10248 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Multiplying 76232314404 by its sum of digits (36), we get a square (2744363318544 = 1656612²).

76232314404 divided by its sum of digits (36) gives a square (2117564289 = 46017²).

The spelling of 76232314404 in words is "seventy-six billion, two hundred thirty-two million, three hundred fourteen thousand, four hundred four".