8848800 has 108 divisors (see below), whose sum is σ = 31228470. Its totient is φ = 2357760.

The previous prime is 8848783. The next prime is 8848811. The reversal of 8848800 is 88488.

It can be written as a sum of positive squares in 3 ways, for example, as 8503056 + 345744 = 2916^2 + 588^2 .

It is a super-2 number, since 2×8848800² = 156602522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6586 + ... + 7814.

Almost surely, 2^8848800 is an apocalyptic number.

8848800 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 8848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15614235).

8848800 is an abundant number, since it is smaller than the sum of its proper divisors (22379670).

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

8848800 is a wasteful number, since it uses less digits than its factorization.

8848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8848800 is about 2974.6932614977. The cubic root of 8848800 is about 206.8369506483.

Multiplying 8848800 by its reverse (88488), we get a square (783012614400 = 884880²).

8848800 divided by its reverse (88488) gives a square (100 = 10²).

The spelling of 8848800 in words is "eight million, eight hundred forty-eight thousand, eight hundred".