79855632 has 240 divisors, whose sum is σ = 259983360. Its totient is φ = 23607936.

The previous prime is 79855603. The next prime is 79855637. The reversal of 79855632 is 23655897.

It is a happy number.

79855632 is a `hidden beast` number, since 7 + 9 + 8 + 5 + 5 + 632 = 666.

Its product of digits (453600) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (79855637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1699033 + ... + 1699079.

It is an arithmetic number, because the mean of its divisors is an integer number (1083264).

Almost surely, 2^79855632 is an apocalyptic number.

79855632 is a gapful number since it is divisible by the number (72) 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 79855632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

79855632 is an abundant number, since it is smaller than the sum of its proper divisors (180127728).

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

79855632 is a wasteful number, since it uses less digits than its factorization.

79855632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 79855632 is about 8936.1978491974. The cubic root of 79855632 is about 430.6275890806.

The spelling of 79855632 in words is "seventy-nine million, eight hundred fifty-five thousand, six hundred thirty-two".