79828672 has 112 divisors (see below), whose sum is σ = 200729088. Its totient is φ = 30597120.

The previous prime is 79828669. The next prime is 79828733. The reversal of 79828672 is 27682897.

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

Its product of digits (677376) is a multiple of the sum of its prime factors (294).

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, 477933 + ... + 478099.

It is an arithmetic number, because the mean of its divisors is an integer number (1792224).

Almost surely, 2^79828672 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 79828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100364544).

79828672 is an abundant number, since it is smaller than the sum of its proper divisors (120900416).

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

79828672 is a wasteful number, since it uses less digits than its factorization.

79828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its digits is 677376, while the sum is 49.

The square root of 79828672 is about 8934.6892503321. The cubic root of 79828672 is about 430.5791223402.

The spelling of 79828672 in words is "seventy-nine million, eight hundred twenty-eight thousand, six hundred seventy-two".