79907982400 has 189 divisors, whose sum is σ = 203144912607. Its totient is φ = 30936499200.

The previous prime is 79907982383. The next prime is 79907982403. The reversal of 79907982400 is 428970997.

The square root of 79907982400 is 282680.

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 7585713216 + 72322269184 = 87096^2 + 268928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79907982403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 418366305 + ... + 418366495.

Almost surely, 2^79907982400 is an apocalyptic number.

79907982400 is the 282680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79907982400

79907982400 is an abundant number, since it is smaller than the sum of its proper divisors (123236930207).

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

79907982400 is an equidigital number, since it uses as much as digits as its factorization.

79907982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 55.

The spelling of 79907982400 in words is "seventy-nine billion, nine hundred seven million, nine hundred eighty-two thousand, four hundred".