856922976 has 432 divisors, whose sum is σ = 3184154064. Its totient is φ = 224695296.

The previous prime is 856922951. The next prime is 856922999. The reversal of 856922976 is 679229658.

856922976 is a `hidden beast` number, since 8 + 569 + 2 + 2 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4953226 + ... + 4953398.

It is an arithmetic number, because the mean of its divisors is an integer number (7370727).

Almost surely, 2^856922976 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 856922976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592077032).

856922976 is an abundant number, since it is smaller than the sum of its proper divisors (2327231088).

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

856922976 is a wasteful number, since it uses less digits than its factorization.

856922976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 198 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 856922976 is about 29273.2467621889. The cubic root of 856922976 is about 949.8330181120.

The spelling of 856922976 in words is "eight hundred fifty-six million, nine hundred twenty-two thousand, nine hundred seventy-six".