852652800 has 324 divisors, whose sum is σ = 3098879784. Its totient is φ = 223641600.

The previous prime is 852652789. The next prime is 852652811. The reversal of 852652800 is 8256258.

852652800 is a `hidden beast` number, since 8 + 526 + 52 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (852652789) and next prime (852652811).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6508735 + ... + 6508865.

Almost surely, 2^852652800 is an apocalyptic number.

852652800 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 852652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549439892).

852652800 is an abundant number, since it is smaller than the sum of its proper divisors (2246226984).

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

852652800 is a wasteful number, since it uses less digits than its factorization.

852652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 852652800 is about 29200.2191772596. The cubic root of 852652800 is about 948.2526699250.

The spelling of 852652800 in words is "eight hundred fifty-two million, six hundred fifty-two thousand, eight hundred".