856008000 has 280 divisors, whose sum is σ = 3169167144. Its totient is φ = 228096000.

The previous prime is 856007989. The next prime is 856008017. The reversal of 856008000 is 800658.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 854509824 = 1224^2 + 29232^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647340 + ... + 648660.

Almost surely, 2^856008000 is an apocalyptic number.

856008000 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 856008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584583572).

856008000 is an abundant number, since it is smaller than the sum of its proper divisors (2313159144).

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

856008000 is a wasteful number, since it uses less digits than its factorization.

856008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1331 counting only the distinct ones).

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

The square root of 856008000 is about 29257.6143935216. The cubic root of 856008000 is about 949.4948376141.

Adding to 856008000 its reverse (800658), we get a palindrome (856808658).

The spelling of 856008000 in words is "eight hundred fifty-six million, eight thousand".