79832080 has 80 divisors (see below), whose sum is σ = 198380160. Its totient is φ = 29804544.

The previous prime is 79832029. The next prime is 79832087. The reversal of 79832080 is 8023897.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (79832087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78616 + ... + 79624.

It is an arithmetic number, because the mean of its divisors is an integer number (2479752).

Almost surely, 2^79832080 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 79832080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99190080).

79832080 is an abundant number, since it is smaller than the sum of its proper divisors (118548080).

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

79832080 is a wasteful number, since it uses less digits than its factorization.

79832080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 79832080 is about 8934.8799656179. The cubic root of 79832080 is about 430.5852495989.

The spelling of 79832080 in words is "seventy-nine million, eight hundred thirty-two thousand, eighty".