7856160 has 96 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 1932288.

The previous prime is 7856089. The next prime is 7856161. The reversal of 7856160 is 616587.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (7856161) 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, 5611 + ... + 6869.

It is an arithmetic number, because the mean of its divisors is an integer number (277830).

Almost surely, 2^7856160 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 7856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

7856160 is an abundant number, since it is smaller than the sum of its proper divisors (18815520).

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

7856160 is a wasteful number, since it uses less digits than its factorization.

7856160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 7856160 is about 2802.8842287901. The cubic root of 7856160 is about 198.7940766925.

The spelling of 7856160 in words is "seven million, eight hundred fifty-six thousand, one hundred sixty".