8876800 has 108 divisors (see below), whose sum is σ = 23444680. Its totient is φ = 3317760.

The previous prime is 8876797. The next prime is 8876801. The reversal of 8876800 is 86788.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 8876800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8876801) 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, 121564 + ... + 121636.

Almost surely, 2^8876800 is an apocalyptic number.

8876800 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 8876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11722340).

8876800 is an abundant number, since it is smaller than the sum of its proper divisors (14567880).

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

8876800 is a wasteful number, since it uses less digits than its factorization.

8876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 8876800 is about 2979.3959119258. The cubic root of 8876800 is about 207.0548836554.

The spelling of 8876800 in words is "eight million, eight hundred seventy-six thousand, eight hundred".