856078696800 has 1008 divisors, whose sum is σ = 3362809141440. Its totient is φ = 211945144320.

The previous prime is 856078696763. The next prime is 856078696807. The reversal of 856078696800 is 8696870658.

856078696800 is a `hidden beast` number, since 8 + 560 + 7 + 8 + 6 + 9 + 68 + 0 + 0 = 666.

It is a super-2 number, since 2×856078696800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856078696807) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 783237054 + ... + 783238146.

It is an arithmetic number, because the mean of its divisors is an integer number (3336120180).

Almost surely, 2^856078696800 is an apocalyptic number.

856078696800 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 856078696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681404570720).

856078696800 is an abundant number, since it is smaller than the sum of its proper divisors (2506730444640).

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

856078696800 is a wasteful number, since it uses less digits than its factorization.

856078696800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 856078696800 in words is "eight hundred fifty-six billion, seventy-eight million, six hundred ninety-six thousand, eight hundred".