79956480 has 160 divisors (see below), whose sum is σ = 265161600. Its totient is φ = 20529152.

The previous prime is 79956469. The next prime is 79956521. The reversal of 79956480 is 8465997.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222541 + ... + 222899.

It is an arithmetic number, because the mean of its divisors is an integer number (1657260).

Almost surely, 2^79956480 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 79956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132580800).

79956480 is an abundant number, since it is smaller than the sum of its proper divisors (185205120).

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

79956480 is a wasteful number, since it uses less digits than its factorization.

79956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 79956480 is about 8941.8387370831. The cubic root of 79956480 is about 430.8087896690.

The spelling of 79956480 in words is "seventy-nine million, nine hundred fifty-six thousand, four hundred eighty".