388800 has 126 divisors (see below), whose sum is σ = 1433068. Its totient is φ = 103680.

The previous prime is 388793. The next prime is 388813. The reversal of 388800 is 8883.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 77758 + ... + 77762.

2³⁸⁸⁸⁰⁰ is an apocalyptic number.

388800 is a gapful number since it is divisible by the number (30) 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 388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716534).

388800 is an abundant number, since it is smaller than the sum of its proper divisors (1044268).

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

388800 is an equidigital number, since it uses as much as digits as its factorization.

388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 388800 is about 623.5382907248. The cubic root of 388800 is about 72.9864239469.

Multiplying 388800 by its sum of digits (27), we get a square (10497600 = 3240²).

388800 divided by its sum of digits (27) gives a square (14400 = 120²).

The spelling of 388800 in words is "three hundred eighty-eight thousand, eight hundred".