856266880 has 128 divisors (see below), whose sum is σ = 2477278080. Its totient is φ = 276283392.

The previous prime is 856266799. The next prime is 856266881. The reversal of 856266880 is 88662658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (856266881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70539 + ... + 81781.

It is an arithmetic number, because the mean of its divisors is an integer number (19353735).

Almost surely, 2^856266880 is an apocalyptic number.

856266880 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 856266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238639040).

856266880 is an abundant number, since it is smaller than the sum of its proper divisors (1621011200).

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

856266880 is a wasteful number, since it uses less digits than its factorization.

856266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11286 (or 11274 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The square root of 856266880 is about 29262.0382065228. The cubic root of 856266880 is about 949.5905456170.

The spelling of 856266880 in words is "eight hundred fifty-six million, two hundred sixty-six thousand, eight hundred eighty".