79984032 has 48 divisors (see below), whose sum is σ = 212022720. Its totient is φ = 26399232.

The previous prime is 79984013. The next prime is 79984039. The reversal of 79984032 is 23048997.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (79984039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5844 + ... + 13932.

It is an arithmetic number, because the mean of its divisors is an integer number (4417140).

Almost surely, 2^79984032 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 79984032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106011360).

79984032 is an abundant number, since it is smaller than the sum of its proper divisors (132038688).

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

79984032 is a wasteful number, since it uses less digits than its factorization.

79984032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8205 (or 8197 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 79984032 is about 8943.3792271154. The cubic root of 79984032 is about 430.8582677545.

The spelling of 79984032 in words is "seventy-nine million, nine hundred eighty-four thousand, thirty-two".