856680000 has 420 divisors, whose sum is σ = 3166049040. Its totient is φ = 204160000.

The previous prime is 856679983. The next prime is 856680001. The reversal of 856680000 is 86658.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (856680001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14519971 + ... + 14520029.

It is an arithmetic number, because the mean of its divisors is an integer number (7538212).

Almost surely, 2^856680000 is an apocalyptic number.

856680000 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 856680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583024520).

856680000 is an abundant number, since it is smaller than the sum of its proper divisors (2309369040).

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

856680000 is a wasteful number, since it uses less digits than its factorization.

856680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 856680000 is about 29269.0963304302. The cubic root of 856680000 is about 949.7432362413.

The spelling of 856680000 in words is "eight hundred fifty-six million, six hundred eighty thousand".