8172800 has 54 divisors (see below), whose sum is σ = 20244798. Its totient is φ = 3266560.

The previous prime is 8172713. The next prime is 8172821. The reversal of 8172800 is 82718.

It can be written as a sum of positive squares in 3 ways, for example, as 861184 + 7311616 = 928^2 + 2704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8172800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5762 + ... + 7038.

Almost surely, 2^8172800 is an apocalyptic number.

8172800 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 8172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10122399).

8172800 is an abundant number, since it is smaller than the sum of its proper divisors (12071998).

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

8172800 is a wasteful number, since it uses less digits than its factorization.

8172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 8172800 is about 2858.8109416329. The cubic root of 8172800 is about 201.4297546523.

The spelling of 8172800 in words is "eight million, one hundred seventy-two thousand, eight hundred".