79507080900 has 405 divisors, whose sum is σ = 280243823013. Its totient is φ = 19489766400.

The previous prime is 79507080803. The next prime is 79507080901. The reversal of 79507080900 is 908070597.

The square root of 79507080900 is 281970.

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 60076951236 + 19430129664 = 245106^2 + 139392^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (79507080901) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 329904780 + ... + 329905020.

Almost surely, 2^79507080900 is an apocalyptic number.

79507080900 is the 281970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79507080900

79507080900 is an abundant number, since it is smaller than the sum of its proper divisors (200736742113).

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

79507080900 is a wasteful number, since it uses less digits than its factorization.

79507080900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 79507080900 in words is "seventy-nine billion, five hundred seven million, eighty thousand, nine hundred".