856080000 has 480 divisors, whose sum is σ = 3262158900. Its totient is φ = 215040000.

The previous prime is 856079963. The next prime is 856080007. The reversal of 856080000 is 80658.

It can be written as a sum of positive squares in 10 ways, for example, as 236667456 + 619412544 = 15384^2 + 24888^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (856080007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20879980 + ... + 20880020.

Almost surely, 2^856080000 is an apocalyptic number.

856080000 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 856080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631079450).

856080000 is an abundant number, since it is smaller than the sum of its proper divisors (2406078900).

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

856080000 is a wasteful number, since it uses less digits than its factorization.

856080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 80 counting only the distinct ones).

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

The square root of 856080000 is about 29258.8448165679. The cubic root of 856080000 is about 949.5214579695.

The spelling of 856080000 in words is "eight hundred fifty-six million, eighty thousand".