5332800 has 168 divisors, whose sum is σ = 19275552. Its totient is φ = 1280000.

The previous prime is 5332759. The next prime is 5332841. The reversal of 5332800 is 82335.

It is an interprime number because it is at equal distance from previous prime (5332759) and next prime (5332841).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52750 + ... + 52850.

Almost surely, 2^5332800 is an apocalyptic number.

5332800 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 5332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9637776).

5332800 is an abundant number, since it is smaller than the sum of its proper divisors (13942752).

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

5332800 is a wasteful number, since it uses less digits than its factorization.

5332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5332800 is about 2309.2856038178. The cubic root of 5332800 is about 174.7102688834.

It can be divided in two parts, 533 and 2800, that added together give a palindrome (3333).

The spelling of 5332800 in words is "five million, three hundred thirty-two thousand, eight hundred".