79809566400 has 504 divisors, whose sum is σ = 289731955968. Its totient is φ = 20832000000.

The previous prime is 79809566399. The next prime is 79809566423. The reversal of 79809566400 is 466590897.

79809566400 is a `hidden beast` number, since 7 + 98 + 0 + 95 + 66 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 256622245 + ... + 256622555.

It is an arithmetic number, because the mean of its divisors is an integer number (574864992).

Almost surely, 2^79809566400 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 79809566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144865977984).

79809566400 is an abundant number, since it is smaller than the sum of its proper divisors (209922389568).

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

79809566400 is a wasteful number, since it uses less digits than its factorization.

79809566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 79809566400 in words is "seventy-nine billion, eight hundred nine million, five hundred sixty-six thousand, four hundred".