856288980 has 144 divisors (see below), whose sum is σ = 2764301904. Its totient is φ = 213811200.

The previous prime is 856288969. The next prime is 856288981. The reversal of 856288980 is 89882658.

856288980 is a `hidden beast` number, since 8 + 5 + 628 + 8 + 9 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 165019716 + 691269264 = 12846^2 + 26292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856288981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 712380 + ... + 713580.

It is an arithmetic number, because the mean of its divisors is an integer number (19196541).

Almost surely, 2^856288980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856288980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382150952).

856288980 is an abundant number, since it is smaller than the sum of its proper divisors (1908012924).

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

856288980 is a wasteful number, since it uses less digits than its factorization.

856288980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 856288980 is about 29262.4158264488. The cubic root of 856288980 is about 949.5987150989.

The spelling of 856288980 in words is "eight hundred fifty-six million, two hundred eighty-eight thousand, nine hundred eighty".