859120080 has 320 divisors, whose sum is σ = 3313121280. Its totient is φ = 179324928.

The previous prime is 859120069. The next prime is 859120117. The reversal of 859120080 is 80021958.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3035619 + ... + 3035901.

It is an arithmetic number, because the mean of its divisors is an integer number (10353504).

Almost surely, 2^859120080 is an apocalyptic number.

859120080 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 859120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656560640).

859120080 is an abundant number, since it is smaller than the sum of its proper divisors (2454001200).

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

859120080 is a wasteful number, since it uses less digits than its factorization.

859120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 859120080 is about 29310.7502462834. The cubic root of 859120080 is about 950.6440987526.

The spelling of 859120080 in words is "eight hundred fifty-nine million, one hundred twenty thousand, eighty".