76813231104 has 99 divisors (see below), whose sum is σ = 221873390427. Its totient is φ = 25595541504.

The previous prime is 76813231097. The next prime is 76813231111. The reversal of 76813231104 is 40113231867.

It is a happy number.

The square root of 76813231104 is 277152.

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

It is an interprime number because it is at equal distance from previous prime (76813231097) and next prime (76813231111).

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 8 ways as a sum of consecutive naturals, for example, 26605149 + ... + 26608035.

Almost surely, 2^76813231104 is an apocalyptic number.

76813231104 is the 277152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76813231104

76813231104 is an abundant number, since it is smaller than the sum of its proper divisors (145060159323).

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

76813231104 is an frugal number, since it uses more digits than its factorization.

76813231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 76813231104 by its sum of digits (36), we get a square (2765276319744 = 1662912²).

76813231104 divided by its sum of digits (36) gives a square (2133700864 = 46192²).

It can be divided in two parts, 768132 and 31104, that added together give a square (799236 = 894²).

The spelling of 76813231104 in words is "seventy-six billion, eight hundred thirteen million, two hundred thirty-one thousand, one hundred four".