857280 has 112 divisors (see below), whose sum is σ = 2926080. Its totient is φ = 211968.

The previous prime is 857273. The next prime is 857281. The reversal of 857280 is 82758.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18217 + ... + 18263.

2⁸⁵⁷²⁸⁰ is an apocalyptic number.

857280 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 857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463040).

857280 is an abundant number, since it is smaller than the sum of its proper divisors (2068800).

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

857280 is a wasteful number, since it uses less digits than its factorization.

857280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 857280 is about 925.8941624181. The cubic root of 857280 is about 94.9964910985.

The spelling of 857280 in words is "eight hundred fifty-seven thousand, two hundred eighty".