852818000 has 60 divisors (see below), whose sum is σ = 2065276668. Its totient is φ = 340604800.

The previous prime is 852817969. The next prime is 852818027. The reversal of 852818000 is 818258.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 512931904 + 339886096 = 22648^2 + 18436^2 .

It is a super-2 number, since 2×852818000² = 1454597082248000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1305674 + ... + 1306326.

Almost surely, 2^852818000 is an apocalyptic number.

852818000 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 852818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032638334).

852818000 is an abundant number, since it is smaller than the sum of its proper divisors (1212458668).

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

852818000 is an frugal number, since it uses more digits than its factorization.

852818000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 852818000 is about 29203.0477861473. The cubic root of 852818000 is about 948.3139067400.

Multiplying 852818000 by its product of nonzero digits (5120), we get a square (4366428160000 = 2089600²).

The spelling of 852818000 in words is "eight hundred fifty-two million, eight hundred eighteen thousand".