79890656400 has 600 divisors, whose sum is σ = 305686934784. Its totient is φ = 19935590400.

The previous prime is 79890656393. The next prime is 79890656441. The reversal of 79890656400 is 465609897.

79890656400 is a `hidden beast` number, since 7 + 98 + 90 + 65 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35023260 + ... + 35025540.

Almost surely, 2^79890656400 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 79890656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152843467392).

79890656400 is an abundant number, since it is smaller than the sum of its proper divisors (225796278384).

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

79890656400 is a wasteful number, since it uses less digits than its factorization.

79890656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2361 counting only the distinct ones).

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

The spelling of 79890656400 in words is "seventy-nine billion, eight hundred ninety million, six hundred fifty-six thousand, four hundred".