79003975680 has 816 divisors, whose sum is σ = 323881683840. Its totient is φ = 17439916032.

The previous prime is 79003975657. The next prime is 79003975837. The reversal of 79003975680 is 8657930097.

79003975680 is a `hidden beast` number, since 79 + 0 + 0 + 3 + 9 + 7 + 568 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 887685076 + ... + 887685164.

Almost surely, 2^79003975680 is an apocalyptic number.

79003975680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79003975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161940841920).

79003975680 is an abundant number, since it is smaller than the sum of its proper divisors (244877708160).

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

79003975680 is an equidigital number, since it uses as much as digits as its factorization.

79003975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 79003975680 in words is "seventy-nine billion, three million, nine hundred seventy-five thousand, six hundred eighty".