856320000 has 240 divisors, whose sum is σ = 2865582720. Its totient is φ = 227328000.

The previous prime is 856319957. The next prime is 856320001. The reversal of 856320000 is 23658.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (856320001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839889 + ... + 3840111.

It is an arithmetic number, because the mean of its divisors is an integer number (11939928).

Almost surely, 2^856320000 is an apocalyptic number.

856320000 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 856320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432791360).

856320000 is an abundant number, since it is smaller than the sum of its proper divisors (2009262720).

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

856320000 is an equidigital number, since it uses as much as digits as its factorization.

856320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 856320000 is about 29262.9458530750. The cubic root of 856320000 is about 949.6101817094.

Adding to 856320000 its reverse (23658), we get a palindrome (856343658).

The spelling of 856320000 in words is "eight hundred fifty-six million, three hundred twenty thousand".