857280672 has 84 divisors (see below), whose sum is σ = 2530568250. Its totient is φ = 285752448.

The previous prime is 857280661. The next prime is 857280719. The reversal of 857280672 is 276082758.

857280672 is a `hidden beast` number, since 8 + 572 + 8 + 0 + 6 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 831514896 + 25765776 = 28836^2 + 5076^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4954 + ... + 41702.

Almost surely, 2^857280672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857280672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265284125).

857280672 is an abundant number, since it is smaller than the sum of its proper divisors (1673287578).

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

857280672 is an equidigital number, since it uses as much as digits as its factorization.

857280672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36777 (or 36754 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 857280672 is about 29279.3557306168. The cubic root of 857280672 is about 949.9651592024.

The spelling of 857280672 in words is "eight hundred fifty-seven million, two hundred eighty thousand, six hundred seventy-two".