79399968400 has 135 divisors (see below), whose sum is σ = 194414652369. Its totient is φ = 31162613760.

The previous prime is 79399968377. The next prime is 79399968413. The reversal of 79399968400 is 486999397.

The square root of 79399968400 is 281780.

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

It can be written as a sum of positive squares in 13 ways, for example, as 64957697424 + 14442270976 = 254868^2 + 120176^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 411398704 + ... + 411398896.

Almost surely, 2^79399968400 is an apocalyptic number.

79399968400 is the 281780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79399968400

79399968400 is an abundant number, since it is smaller than the sum of its proper divisors (115014683969).

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

79399968400 is an equidigital number, since it uses as much as digits as its factorization.

79399968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 64.

Multiplying 79399968400 by its sum of digits (64), we get a square (5081597977600 = 2254240²).

The spelling of 79399968400 in words is "seventy-nine billion, three hundred ninety-nine million, nine hundred sixty-eight thousand, four hundred".