856228800 has 336 divisors, whose sum is σ = 3401568000. Its totient is φ = 184074240.

The previous prime is 856228777. The next prime is 856228811. The reversal of 856228800 is 8822658.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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, 570451 + ... + 571949.

Almost surely, 2^856228800 is an apocalyptic number.

856228800 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 856228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700784000).

856228800 is an abundant number, since it is smaller than the sum of its proper divisors (2545339200).

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

856228800 is a wasteful number, since it uses less digits than its factorization.

856228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 856228800 is about 29261.3875269099. The cubic root of 856228800 is about 949.5764686413.

The spelling of 856228800 in words is "eight hundred fifty-six million, two hundred twenty-eight thousand, eight hundred".