7920960 has 112 divisors (see below), whose sum is σ = 25944576. Its totient is φ = 2045952.

The previous prime is 7920959. The next prime is 7921003. The reversal of 7920960 is 690297.

7920960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35409 + ... + 35631.

It is an arithmetic number, because the mean of its divisors is an integer number (231648).

Almost surely, 2^7920960 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 7920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972288).

7920960 is an abundant number, since it is smaller than the sum of its proper divisors (18023616).

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

7920960 is a wasteful number, since it uses less digits than its factorization.

7920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 7920960 is about 2814.4200112990. The cubic root of 7920960 is about 199.3391521389.

The spelling of 7920960 in words is "seven million, nine hundred twenty thousand, nine hundred sixty".