857986080 has 144 divisors (see below), whose sum is σ = 3143992320. Its totient is φ = 196105728.

The previous prime is 857986079. The next prime is 857986091. The reversal of 857986080 is 80689758.

It is a happy number.

It is a super-2 number, since 2×857986080² = 1472280226947532800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5281 + ... + 41759.

It is an arithmetic number, because the mean of its divisors is an integer number (21833280).

Almost surely, 2^857986080 is an apocalyptic number.

857986080 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 857986080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571996160).

857986080 is an abundant number, since it is smaller than the sum of its proper divisors (2286006240).

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

857986080 is a wasteful number, since it uses less digits than its factorization.

857986080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36511 (or 36496 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 857986080 is about 29291.3994203077. The cubic root of 857986080 is about 950.2256453844.

The spelling of 857986080 in words is "eight hundred fifty-seven million, nine hundred eighty-six thousand, eighty".