7976160 has 144 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 2042880.

The previous prime is 7976159. The next prime is 7976161. The reversal of 7976160 is 616797.

7976160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7976159) and next prime (7976161).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7976161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41665 + ... + 41855.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^7976160 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 7976160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

7976160 is an abundant number, since it is smaller than the sum of its proper divisors (20328480).

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

7976160 is a wasteful number, since it uses less digits than its factorization.

7976160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 7976160 is about 2824.2096239479. The cubic root of 7976160 is about 199.8011356637.

The spelling of 7976160 in words is "seven million, nine hundred seventy-six thousand, one hundred sixty".