5388800 has 60 divisors (see below), whose sum is σ = 13382886. Its totient is φ = 2150400.

The previous prime is 5388797. The next prime is 5388811. The reversal of 5388800 is 88835.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2119936 + 3268864 = 1456^2 + 1808^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12590 + ... + 13010.

Almost surely, 2^5388800 is an apocalyptic number.

5388800 is a gapful number since it is divisible by the number (50) 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 5388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6691443).

5388800 is an abundant number, since it is smaller than the sum of its proper divisors (7994086).

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

5388800 is an equidigital number, since it uses as much as digits as its factorization.

5388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 5388800 is about 2321.3789005675. The cubic root of 5388800 is about 175.3196877518.

The spelling of 5388800 in words is "five million, three hundred eighty-eight thousand, eight hundred".