8128800 has 108 divisors (see below), whose sum is σ = 28689570. Its totient is φ = 2165760.

The previous prime is 8128781. The next prime is 8128801. The reversal of 8128800 is 88218.

It can be written as a sum of positive squares in 3 ways, for example, as 4112784 + 4016016 = 2028^2 + 2004^2 .

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (8128801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6636 + ... + 7764.

Almost surely, 2^8128800 is an apocalyptic number.

8128800 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 8128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14344785).

8128800 is an abundant number, since it is smaller than the sum of its proper divisors (20560770).

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

8128800 is a wasteful number, since it uses less digits than its factorization.

8128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8128800 is about 2851.1050489240. The cubic root of 8128800 is about 201.0676240865.

The spelling of 8128800 in words is "eight million, one hundred twenty-eight thousand, eight hundred".