7905680 has 40 divisors (see below), whose sum is σ = 19465272. Its totient is φ = 2975744.

The previous prime is 7905671. The next prime is 7905707. The reversal of 7905680 is 865097.

It can be written as a sum of positive squares in 4 ways, for example, as 2298256 + 5607424 = 1516^2 + 2368^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 7905680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1547 + ... + 4266.

Almost surely, 2^7905680 is an apocalyptic number.

It is an amenable number.

7905680 is an abundant number, since it is smaller than the sum of its proper divisors (11559592).

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

7905680 is a wasteful number, since it uses less digits than its factorization.

7905680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 7905680 is about 2811.7041096104. The cubic root of 7905680 is about 199.2108906268.

The spelling of 7905680 in words is "seven million, nine hundred five thousand, six hundred eighty".