8752800 has 144 divisors (see below), whose sum is σ = 32622912. Its totient is φ = 1996800.

The previous prime is 8752781. The next prime is 8752801. The reversal of 8752800 is 82578.

It is a super-2 number, since 2×8752800² = 153223015680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (8752801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16540 + ... + 17060.

It is an arithmetic number, because the mean of its divisors is an integer number (226548).

Almost surely, 2^8752800 is an apocalyptic number.

8752800 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 8752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311456).

8752800 is an abundant number, since it is smaller than the sum of its proper divisors (23870112).

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

8752800 is a wasteful number, since it uses less digits than its factorization.

8752800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 8752800 is about 2958.5131400756. The cubic root of 8752800 is about 206.0862428346.

The spelling of 8752800 in words is "eight million, seven hundred fifty-two thousand, eight hundred".