856100000 has 144 divisors (see below), whose sum is σ = 2409595776. Its totient is φ = 293280000.

The previous prime is 856099973. The next prime is 856100051. The reversal of 856100000 is 1658.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 699389 + ... + 700611.

It is an arithmetic number, because the mean of its divisors is an integer number (16733304).

Almost surely, 2^856100000 is an apocalyptic number.

856100000 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 856100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204797888).

856100000 is an abundant number, since it is smaller than the sum of its proper divisors (1553495776).

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

856100000 is an equidigital number, since it uses as much as digits as its factorization.

856100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 856100000 is about 29259.1865915647. The cubic root of 856100000 is about 949.5288522478.

Adding to 856100000 its reverse (1658), we get a palindrome (856101658).

The spelling of 856100000 in words is "eight hundred fifty-six million, one hundred thousand".