856076160 has 256 divisors, whose sum is σ = 2968934400. Its totient is φ = 209018880.

The previous prime is 856076149. The next prime is 856076173. The reversal of 856076160 is 61670658.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1130502 + ... + 1131258.

It is an arithmetic number, because the mean of its divisors is an integer number (11597400).

Almost surely, 2^856076160 is an apocalyptic number.

856076160 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 856076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484467200).

856076160 is an abundant number, since it is smaller than the sum of its proper divisors (2112858240).

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

856076160 is a wasteful number, since it uses less digits than its factorization.

856076160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 856076160 is about 29258.7791953116. The cubic root of 856076160 is about 949.5200382549.

The spelling of 856076160 in words is "eight hundred fifty-six million, seventy-six thousand, one hundred sixty".