8820800 has 84 divisors (see below), whose sum is σ = 22440900. Its totient is φ = 3409920.

The previous prime is 8820793. The next prime is 8820803. The reversal of 8820800 is 80288.

It can be written as a sum of positive squares in 6 ways, for example, as 153664 + 8667136 = 392^2 + 2944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8820800.

It is not an unprimeable number, because it can be changed into a prime (8820803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59126 + ... + 59274.

Almost surely, 2^8820800 is an apocalyptic number.

8820800 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 8820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11220450).

8820800 is an abundant number, since it is smaller than the sum of its proper divisors (13620100).

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

8820800 is a wasteful number, since it uses less digits than its factorization.

8820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 8820800 is about 2969.9831649355. The cubic root of 8820800 is about 206.6185574223.

The spelling of 8820800 in words is "eight million, eight hundred twenty thousand, eight hundred".