7936080 has 80 divisors (see below), whose sum is σ = 25206720. Its totient is φ = 2064384.

The previous prime is 7936079. The next prime is 7936109. The reversal of 7936080 is 806397.

It is a happy number.

7936080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9936 + ... + 10704.

It is an arithmetic number, because the mean of its divisors is an integer number (315084).

Almost surely, 2^7936080 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 7936080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603360).

7936080 is an abundant number, since it is smaller than the sum of its proper divisors (17270640).

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

7936080 is a wasteful number, since it uses less digits than its factorization.

7936080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 7936080 is about 2817.1048968755. The cubic root of 7936080 is about 199.4659083334.

The spelling of 7936080 in words is "seven million, nine hundred thirty-six thousand, eighty".