7932080 has 80 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 2817024.

The previous prime is 7932053. The next prime is 7932083. The reversal of 7932080 is 802397.

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

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (7932083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30029 + ... + 30291.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 2^7932080 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 7932080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

7932080 is an abundant number, since it is smaller than the sum of its proper divisors (12691600).

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

7932080 is a wasteful number, since it uses less digits than its factorization.

7932080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 7932080 is about 2816.3948586802. The cubic root of 7932080 is about 199.4323906219.

The spelling of 7932080 in words is "seven million, nine hundred thirty-two thousand, eighty".