7905688 has 32 divisors (see below), whose sum is σ = 17164800. Its totient is φ = 3343392.

The previous prime is 7905671. The next prime is 7905707. The reversal of 7905688 is 8865097.

It is a happy number.

It is a congruent number.

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, 3531 + ... + 5317.

It is an arithmetic number, because the mean of its divisors is an integer number (536400).

Almost surely, 2^7905688 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 7905688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8582400).

7905688 is an abundant number, since it is smaller than the sum of its proper divisors (9259112).

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

7905688 is a wasteful number, since it uses less digits than its factorization.

7905688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 7905688 is about 2811.7055322348. The cubic root of 7905688 is about 199.2109578226.

The spelling of 7905688 in words is "seven million, nine hundred five thousand, six hundred eighty-eight".