852756804 has 81 divisors (see below), whose sum is σ = 2241634941. Its totient is φ = 273330720.

The previous prime is 852756787. The next prime is 852756811. The reversal of 852756804 is 408657258.

The square root of 852756804 is 29202.

It is a perfect power (a square), and thus also a powerful number.

852756804 is a `hidden beast` number, since 85 + 2 + 7 + 568 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 249956100 + 602800704 = 15810^2 + 24552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 852756804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5431494 + ... + 5431650.

Almost surely, 2^852756804 is an apocalyptic number.

852756804 is the 29202-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852756804

852756804 is an abundant number, since it is smaller than the sum of its proper divisors (1388878137).

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

852756804 is a wasteful number, since it uses less digits than its factorization.

852756804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The cubic root of 852756804 is about 948.2912233515.

The spelling of 852756804 in words is "eight hundred fifty-two million, seven hundred fifty-six thousand, eight hundred four".