79608480 has 384 divisors, whose sum is σ = 319334400. Its totient is φ = 16257024.

The previous prime is 79608469. The next prime is 79608481. The reversal of 79608480 is 8480697.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (79608481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1851339 + ... + 1851381.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 2^79608480 is an apocalyptic number.

79608480 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 79608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

79608480 is an abundant number, since it is smaller than the sum of its proper divisors (239725920).

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

79608480 is a wasteful number, since it uses less digits than its factorization.

79608480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 79608480 is about 8922.3584326119. The cubic root of 79608480 is about 430.1828679564.

The spelling of 79608480 in words is "seventy-nine million, six hundred eight thousand, four hundred eighty".