5182800 has 120 divisors (see below), whose sum is σ = 19004736. Its totient is φ = 1182720.

The previous prime is 5182799. The next prime is 5182811. The reversal of 5182800 is 82815.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5182800² = 53722831680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8092 + ... + 8708.

Almost surely, 2^5182800 is an apocalyptic number.

5182800 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 5182800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9502368).

5182800 is an abundant number, since it is smaller than the sum of its proper divisors (13821936).

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

5182800 is a wasteful number, since it uses less digits than its factorization.

5182800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 5182800 is about 2276.5763769309. The cubic root of 5182800 is about 173.0565932437.

The spelling of 5182800 in words is "five million, one hundred eighty-two thousand, eight hundred".