8488800 has 180 divisors, whose sum is σ = 31193316. Its totient is φ = 2246400.

The previous prime is 8488783. The next prime is 8488829. The reversal of 8488800 is 88848.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64735 + ... + 64865.

Almost surely, 2^8488800 is an apocalyptic number.

8488800 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 8488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15596658).

8488800 is an abundant number, since it is smaller than the sum of its proper divisors (22704516).

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

8488800 is a wasteful number, since it uses less digits than its factorization.

8488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

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

The square root of 8488800 is about 2913.5545301230. The cubic root of 8488800 is about 203.9930793500.

The spelling of 8488800 in words is "eight million, four hundred eighty-eight thousand, eight hundred".