7905864 has 64 divisors (see below), whose sum is σ = 21067200. Its totient is φ = 2467584.

The previous prime is 7905853. The next prime is 7905869. The reversal of 7905864 is 4685097.

It is not an unprimeable number, because it can be changed into a prime (7905869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25599 + ... + 25905.

It is an arithmetic number, because the mean of its divisors is an integer number (329175).

Almost surely, 2^7905864 is an apocalyptic number.

7905864 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7905864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533600).

7905864 is an abundant number, since it is smaller than the sum of its proper divisors (13161336).

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

7905864 is a wasteful number, since it uses less digits than its factorization.

7905864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 7905864 is about 2811.7368297904. The cubic root of 7905864 is about 199.2124361198.

The spelling of 7905864 in words is "seven million, nine hundred five thousand, eight hundred sixty-four".