79001664 has 112 divisors (see below), whose sum is σ = 244620288. Its totient is φ = 22030848.

The previous prime is 79001633. The next prime is 79001687. The reversal of 79001664 is 46610097.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57109 + ... + 58475.

Almost surely, 2^79001664 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 79001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122310144).

79001664 is an abundant number, since it is smaller than the sum of its proper divisors (165618624).

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

79001664 is a wasteful number, since it uses less digits than its factorization.

79001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 79001664 is about 8888.2880241360. The cubic root of 79001664 is about 429.0870553222.

The spelling of 79001664 in words is "seventy-nine million, one thousand, six hundred sixty-four".