852876900 has 54 divisors (see below), whose sum is σ = 2673298082. Its totient is φ = 227433600.

The previous prime is 852876889. The next prime is 852876907. The reversal of 852876900 is 9678258.

It can be written as a sum of positive squares in 3 ways, for example, as 53231616 + 799645284 = 7296^2 + 28278^2 .

It is a super-2 number, since 2×852876900² = 1454798013107220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (852876907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 472921 + ... + 474720.

Almost surely, 2^852876900 is an apocalyptic number.

It is an amenable number.

852876900 is an abundant number, since it is smaller than the sum of its proper divisors (1820421182).

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

852876900 is a wasteful number, since it uses less digits than its factorization.

852876900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947661 (or 947651 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 852876900 is about 29204.0562251205. The cubic root of 852876900 is about 948.3357380503.

It can be divided in two parts, 852876 and 900, that added together give a square (853776 = 924²).

The spelling of 852876900 in words is "eight hundred fifty-two million, eight hundred seventy-six thousand, nine hundred".