857920 has 56 divisors (see below), whose sum is σ = 2340864. Its totient is φ = 293376.

The previous prime is 857903. The next prime is 857929. The reversal of 857920 is 29758.

857920 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2049 + ... + 2431.

2⁸⁵⁷⁹²⁰ is an apocalyptic number.

857920 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 857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170432).

857920 is an abundant number, since it is smaller than the sum of its proper divisors (1482944).

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

857920 is a wasteful number, since it uses less digits than its factorization.

857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 857920 is about 926.2397097944. The cubic root of 857920 is about 95.0201250069.

The spelling of 857920 in words is "eight hundred fifty-seven thousand, nine hundred twenty".