79738464400 has 135 divisors (see below), whose sum is σ = 222959206539. Its totient is φ = 27325347840.

The previous prime is 79738464389. The next prime is 79738464413. The reversal of 79738464400 is 446483797.

The square root of 79738464400 is 282380.

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 4504557456 + 75233906944 = 67116^2 + 274288^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39532192 + ... + 39534208.

Almost surely, 2^79738464400 is an apocalyptic number.

79738464400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

79738464400 is the 282380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79738464400

79738464400 is an abundant number, since it is smaller than the sum of its proper divisors (143220742139).

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

79738464400 is an equidigital number, since it uses as much as digits as its factorization.

79738464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 79738464400 in words is "seventy-nine billion, seven hundred thirty-eight million, four hundred sixty-four thousand, four hundred".