79890679017600 has 384 divisors, whose sum is σ = 289434192615360. Its totient is φ = 19367434240000.

The previous prime is 79890679017577. The next prime is 79890679017601. The reversal of 79890679017600 is 671097609897.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×79890679017600² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (79890679017601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9651400 + ... + 15903800.

Almost surely, 2^{79890679017600} 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 79890679017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144717096307680).

79890679017600 is an abundant number, since it is smaller than the sum of its proper divisors (209543513597760).

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

79890679017600 is a wasteful number, since it uses less digits than its factorization.

79890679017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6252461 (or 6252422 counting only the distinct ones).

The product of its (nonzero) digits is 72013536, while the sum is 69.

The spelling of 79890679017600 in words is "seventy-nine trillion, eight hundred ninety billion, six hundred seventy-nine million, seventeen thousand, six hundred".