7958160 has 120 divisors (see below), whose sum is σ = 30563520. Its totient is φ = 1817856.

The previous prime is 7958143. The next prime is 7958183. The reversal of 7958160 is 618597.

7958160 = T₂₃₂ + T₂₃₃ + ... + T₃₉₁.

7958160 is a `hidden beast` number, since 79 + 581 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4251 + ... + 5829.

It is an arithmetic number, because the mean of its divisors is an integer number (254696).

Almost surely, 2^7958160 is an apocalyptic number.

7958160 is a gapful number since it is divisible by the number (70) 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 7958160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15281760).

7958160 is an abundant number, since it is smaller than the sum of its proper divisors (22605360).

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

7958160 is a wasteful number, since it uses less digits than its factorization.

7958160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 7958160 is about 2821.0210917326. The cubic root of 7958160 is about 199.6507237188.

It can be divided in two parts, 7958 and 160, that added together give a palindrome (8118).

The spelling of 7958160 in words is "seven million, nine hundred fifty-eight thousand, one hundred sixty".