7905760 has 24 divisors (see below), whose sum is σ = 18677736. Its totient is φ = 3162240.

The previous prime is 7905757. The next prime is 7905761. The reversal of 7905760 is 675097.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7905761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24546 + ... + 24865.

It is an arithmetic number, because the mean of its divisors is an integer number (778239).

Almost surely, 2^7905760 is an apocalyptic number.

It is an amenable number.

7905760 is an abundant number, since it is smaller than the sum of its proper divisors (10771976).

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

7905760 is a wasteful number, since it uses less digits than its factorization.

7905760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49426 (or 49418 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 7905760 is about 2811.7183358224. The cubic root of 7905760 is about 199.2115625832.

The spelling of 7905760 in words is "seven million, nine hundred five thousand, seven hundred sixty".