79080537600 has 480 divisors, whose sum is σ = 297396902880. Its totient is φ = 20570112000.

The previous prime is 79080537553. The next prime is 79080537643. The reversal of 79080537600 is 673508097.

It is a happy number.

79080537600 is a `hidden beast` number, since 7 + 9 + 0 + 8 + 0 + 5 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14166810 + ... + 14172390.

It is an arithmetic number, because the mean of its divisors is an integer number (619576881).

Almost surely, 2^79080537600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79080537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148698451440).

79080537600 is an abundant number, since it is smaller than the sum of its proper divisors (218316365280).

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

79080537600 is a wasteful number, since it uses less digits than its factorization.

79080537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5659 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 79080537600 in words is "seventy-nine billion, eighty million, five hundred thirty-seven thousand, six hundred".