79598880 has 144 divisors (see below), whose sum is σ = 274083264. Its totient is φ = 21035520.

The previous prime is 79598867. The next prime is 79598887. The reversal of 79598880 is 8889597.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (79598887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240315 + ... + 240645.

It is an arithmetic number, because the mean of its divisors is an integer number (1903356).

Almost surely, 2^79598880 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 79598880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137041632).

79598880 is an abundant number, since it is smaller than the sum of its proper divisors (194484384).

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

79598880 is a wasteful number, since it uses less digits than its factorization.

79598880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 79598880 is about 8921.8204420398. The cubic root of 79598880 is about 430.1655753198.

The spelling of 79598880 in words is "seventy-nine million, five hundred ninety-eight thousand, eight hundred eighty".