7925160 has 64 divisors (see below), whose sum is σ = 23964480. Its totient is φ = 2096640.

The previous prime is 7925123. The next prime is 7925173. The reversal of 7925160 is 615297.

It is a super-2 number, since 2×7925160² = 125616322051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25164 + ... + 25476.

It is an arithmetic number, because the mean of its divisors is an integer number (374445).

Almost surely, 2^7925160 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 7925160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11982240).

7925160 is an abundant number, since it is smaller than the sum of its proper divisors (16039320).

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

7925160 is a wasteful number, since it uses less digits than its factorization.

7925160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 7925160 is about 2815.1660697018. The cubic root of 7925160 is about 199.3743783617.

The spelling of 7925160 in words is "seven million, nine hundred twenty-five thousand, one hundred sixty".