79608960 has 256 divisors, whose sum is σ = 299635200. Its totient is φ = 19906560.

The previous prime is 79608937. The next prime is 79608983. The reversal of 79608960 is 6980697.

It is an interprime number because it is at equal distance from previous prime (79608937) and next prime (79608983).

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

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 31 ways as a sum of consecutive naturals, for example, 293625 + ... + 293895.

It is an arithmetic number, because the mean of its divisors is an integer number (1170450).

Almost surely, 2^79608960 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 79608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149817600).

79608960 is an abundant number, since it is smaller than the sum of its proper divisors (220026240).

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

79608960 is a wasteful number, since it uses less digits than its factorization.

79608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 79608960 is about 8922.3853312889. The cubic root of 79608960 is about 430.1837325517.

The spelling of 79608960 in words is "seventy-nine million, six hundred eight thousand, nine hundred sixty".