79882128 has 120 divisors (see below), whose sum is σ = 236770560. Its totient is φ = 25090560.

The previous prime is 79882109. The next prime is 79882129. The reversal of 79882128 is 82128897.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (79882129) 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, 294633 + ... + 294903.

It is an arithmetic number, because the mean of its divisors is an integer number (1973088).

Almost surely, 2^79882128 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 79882128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280).

79882128 is an abundant number, since it is smaller than the sum of its proper divisors (156888432).

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

79882128 is a wasteful number, since it uses less digits than its factorization.

79882128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 388 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 79882128 is about 8937.6802359449. The cubic root of 79882128 is about 430.6752110480.

The spelling of 79882128 in words is "seventy-nine million, eight hundred eighty-two thousand, one hundred twenty-eight".