857142720 has 672 divisors, whose sum is σ = 3714512256. Its totient is φ = 176947200.

The previous prime is 857142709. The next prime is 857142721. The reversal of 857142720 is 27241758.

857142720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857142721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14051490 + ... + 14051550.

It is an arithmetic number, because the mean of its divisors is an integer number (5527548).

Almost surely, 2^857142720 is an apocalyptic number.

857142720 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 857142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857256128).

857142720 is an abundant number, since it is smaller than the sum of its proper divisors (2857369536).

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

857142720 is a wasteful number, since it uses less digits than its factorization.

857142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 857142720 is about 29276.9998462957. Note that the first 3 decimals coincide. The cubic root of 857142720 is about 949.9142009309.

The spelling of 857142720 in words is "eight hundred fifty-seven million, one hundred forty-two thousand, seven hundred twenty".