856375200 has 288 divisors, whose sum is σ = 3176046720. Its totient is φ = 222566400.

The previous prime is 856375193. The next prime is 856375231. The reversal of 856375200 is 2573658.

856375200 is a `hidden beast` number, since 8 + 563 + 75 + 20 + 0 = 666.

856375200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885117 + ... + 886083.

It is an arithmetic number, because the mean of its divisors is an integer number (11027940).

Almost surely, 2^856375200 is an apocalyptic number.

856375200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588023360).

856375200 is an abundant number, since it is smaller than the sum of its proper divisors (2319671520).

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

856375200 is a wasteful number, since it uses less digits than its factorization.

856375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 856375200 is about 29263.8890101777. The cubic root of 856375200 is about 949.6305858245.

The spelling of 856375200 in words is "eight hundred fifty-six million, three hundred seventy-five thousand, two hundred".