7656120 has 160 divisors (see below), whose sum is σ = 27442800. Its totient is φ = 1907712.

The previous prime is 7656109. The next prime is 7656133. The reversal of 7656120 is 216567.

7656120 is a `hidden beast` number, since 7 + 656 + 1 + 2 + 0 = 666.

7656120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55011 + ... + 55149.

Almost surely, 2^7656120 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 7656120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721400).

7656120 is an abundant number, since it is smaller than the sum of its proper divisors (19786680).

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

7656120 is a wasteful number, since it uses less digits than its factorization.

7656120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7656120 is about 2766.9694613421. The cubic root of 7656120 is about 197.0922635496.

It can be divided in two parts, 7656 and 120, that added together give a 5-th power (7776 = 6⁵).

The spelling of 7656120 in words is "seven million, six hundred fifty-six thousand, one hundred twenty".