856976120 has 256 divisors, whose sum is σ = 2743372800. Its totient is φ = 231874560.

The previous prime is 856976119. The next prime is 856976123. The reversal of 856976120 is 21679658.

856976120 is digitally balanced in base 2, 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 (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856976123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680051 + ... + 681309.

It is an arithmetic number, because the mean of its divisors is an integer number (10716300).

Almost surely, 2^856976120 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 856976120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371686400).

856976120 is an abundant number, since it is smaller than the sum of its proper divisors (1886396680).

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

856976120 is a wasteful number, since it uses less digits than its factorization.

856976120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 856976120 is about 29274.1544711372. The cubic root of 856976120 is about 949.8526530476.

The spelling of 856976120 in words is "eight hundred fifty-six million, nine hundred seventy-six thousand, one hundred twenty".