79086456000 has 840 divisors, whose sum is σ = 304700318208. Its totient is φ = 20248704000.

The previous prime is 79086455983. The next prime is 79086456047. The reversal of 79086456000 is 65468097.

79086456000 is a `hidden beast` number, since 7 + 9 + 0 + 86 + 4 + 560 + 0 + 0 = 666.

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

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, 622727937 + ... + 622728063.

Almost surely, 2^79086456000 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 79086456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152350159104).

79086456000 is an abundant number, since it is smaller than the sum of its proper divisors (225613862208).

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

79086456000 is a wasteful number, since it uses less digits than its factorization.

79086456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 79086456000 in words is "seventy-nine billion, eighty-six million, four hundred fifty-six thousand".