8268800 has 132 divisors (see below), whose sum is σ = 22844520. Its totient is φ = 2949120.

The previous prime is 8268779. The next prime is 8268803. The reversal of 8268800 is 88628.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8268803) 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, 435191 + ... + 435209.

Almost surely, 2^8268800 is an apocalyptic number.

8268800 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 8268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11422260).

8268800 is an abundant number, since it is smaller than the sum of its proper divisors (14575720).

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

8268800 is a wasteful number, since it uses less digits than its factorization.

8268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 8268800 is about 2875.5521208978. The cubic root of 8268800 is about 202.2153700711.

The spelling of 8268800 in words is "eight million, two hundred sixty-eight thousand, eight hundred".