8852800 has 84 divisors (see below), whose sum is σ = 23810976. Its totient is φ = 3212800.

The previous prime is 8852791. The next prime is 8852807. The reversal of 8852800 is 82588.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8852807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17349 + ... + 17851.

It is an arithmetic number, because the mean of its divisors is an integer number (283464).

Almost surely, 2^8852800 is an apocalyptic number.

8852800 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 8852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11905488).

8852800 is an abundant number, since it is smaller than the sum of its proper divisors (14958176).

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

8852800 is a wasteful number, since it uses less digits than its factorization.

8852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 8852800 is about 2975.3655237634. The cubic root of 8852800 is about 206.8681120551.

The spelling of 8852800 in words is "eight million, eight hundred fifty-two thousand, eight hundred".