79079064100 has 81 divisors (see below), whose sum is σ = 174840087513. Its totient is φ = 31045584000.

The previous prime is 79079064007. The next prime is 79079064137. The reversal of 79079064100 is 146097097.

It is a happy number.

The square root of 79079064100 is 281210.

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 77447550436 + 1631513664 = 278294^2 + 40392^2 .

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, 171537870 + ... + 171538330.

Almost surely, 2^79079064100 is an apocalyptic number.

79079064100 is the 281210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79079064100

79079064100 is an abundant number, since it is smaller than the sum of its proper divisors (95761023413).

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

79079064100 is an equidigital number, since it uses as much as digits as its factorization.

79079064100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The spelling of 79079064100 in words is "seventy-nine billion, seventy-nine million, sixty-four thousand, one hundred".