79652832 has 192 divisors, whose sum is σ = 254016000. Its totient is φ = 21826560.

The previous prime is 79652831. The next prime is 79652843. The reversal of 79652832 is 23825697.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (181440) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79652831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350019 + ... + 1350077.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 2^79652832 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 79652832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

79652832 is an abundant number, since it is smaller than the sum of its proper divisors (174363168).

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

79652832 is a wasteful number, since it uses less digits than its factorization.

79652832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 79652832 is about 8924.8435280401. The cubic root of 79652832 is about 430.2627418945.

It can be divided in two parts, 796 and 52832, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 79652832 in words is "seventy-nine million, six hundred fifty-two thousand, eight hundred thirty-two".