79874064400 has 135 divisors (see below), whose sum is σ = 207985607991. Its totient is φ = 29464830720.

The previous prime is 79874064323. The next prime is 79874064419. The reversal of 79874064400 is 446047897.

The square root of 79874064400 is 282620.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20587658256 + 59286406144 = 143484^2 + 243488^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73480657 + ... + 73481743.

Almost surely, 2^79874064400 is an apocalyptic number.

79874064400 is the 282620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79874064400

79874064400 is an abundant number, since it is smaller than the sum of its proper divisors (128111543591).

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

79874064400 is a wasteful number, since it uses less digits than its factorization.

79874064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

Multiplying 79874064400 by its sum of digits (49), we get a square (3913829155600 = 1978340²).

The spelling of 79874064400 in words is "seventy-nine billion, eight hundred seventy-four million, sixty-four thousand, four hundred".