853782656 has 64 divisors (see below), whose sum is σ = 1773657600. Its totient is φ = 408913920.

The previous prime is 853782641. The next prime is 853782661. The reversal of 853782656 is 656287358.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×853782656³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407660 + ... + 409748.

It is an arithmetic number, because the mean of its divisors is an integer number (27713400).

Almost surely, 2^853782656 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 853782656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886828800).

853782656 is an abundant number, since it is smaller than the sum of its proper divisors (919874944).

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

853782656 is a wasteful number, since it uses less digits than its factorization.

853782656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2225 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 50.

The square root of 853782656 is about 29219.5594764877. The cubic root of 853782656 is about 948.6713304012.

The spelling of 853782656 in words is "eight hundred fifty-three million, seven hundred eighty-two thousand, six hundred fifty-six".