79997486976 has 800 divisors, whose sum is σ = 286225790400. Its totient is φ = 22079692800.

The previous prime is 79997486963. The next prime is 79997487001. The reversal of 79997486976 is 67968479997.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (2592487296) is a multiple of the sum of its prime divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 79997486895 and 79997486904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2580564081 + ... + 2580564111.

It is an arithmetic number, because the mean of its divisors is an integer number (357782238).

Almost surely, 2^79997486976 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 79997486976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143112895200).

79997486976 is an abundant number, since it is smaller than the sum of its proper divisors (206228303424).

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

79997486976 is an equidigital number, since it uses as much as digits as its factorization.

79997486976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 64 counting only the distinct ones).

The product of its digits is 2592487296, while the sum is 81.

The spelling of 79997486976 in words is "seventy-nine billion, nine hundred ninety-seven million, four hundred eighty-six thousand, nine hundred seventy-six".