79792128 has 240 divisors, whose sum is σ = 263603340. Its totient is φ = 23887872.

The previous prime is 79792127. The next prime is 79792157. The reversal of 79792128 is 82129797.

It can be written as a sum of positive squares in 2 ways, for example, as 79709184 + 82944 = 8928^2 + 288^2 .

Its product of digits (127008) is a multiple of the sum of its prime factors (84).

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (79792127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2156526 + ... + 2156562.

Almost surely, 2^79792128 is an apocalyptic number.

79792128 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79792128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131801670).

79792128 is an abundant number, since it is smaller than the sum of its proper divisors (183811212).

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

79792128 is a wasteful number, since it uses less digits than its factorization.

79792128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 55 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 79792128 is about 8932.6439535000. The cubic root of 79792128 is about 430.5134087533.

The spelling of 79792128 in words is "seventy-nine million, seven hundred ninety-two thousand, one hundred twenty-eight".