857918880 has 288 divisors, whose sum is σ = 3603809664. Its totient is φ = 180983808.

The previous prime is 857918863. The next prime is 857918911. The reversal of 857918880 is 88819758.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 127767 + ... + 134313.

It is an arithmetic number, because the mean of its divisors is an integer number (12513228).

Almost surely, 2^857918880 is an apocalyptic number.

857918880 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 857918880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801904832).

857918880 is an abundant number, since it is smaller than the sum of its proper divisors (2745890784).

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

857918880 is a wasteful number, since it uses less digits than its factorization.

857918880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6588 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The square root of 857918880 is about 29290.2523034541. The cubic root of 857918880 is about 950.2008365785.

The spelling of 857918880 in words is "eight hundred fifty-seven million, nine hundred eighteen thousand, eight hundred eighty".