856800 has 216 divisors, whose sum is σ = 3656016. Its totient is φ = 184320.

The previous prime is 856799. The next prime is 856811. The reversal of 856800 is 8658.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50392 + ... + 50408.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2⁸⁵⁶⁸⁰⁰ is an apocalyptic number.

856800 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 856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008).

856800 is an abundant number, since it is smaller than the sum of its proper divisors (2799216).

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

856800 is a wasteful number, since it uses less digits than its factorization.

856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 856800 is about 925.6349172325. The cubic root of 856800 is about 94.9787579468.

The spelling of 856800 in words is "eight hundred fifty-six thousand, eight hundred".