5800 has 24 divisors (see below), whose sum is σ = 13950. Its totient is φ = 2240.

The previous prime is 5791. The next prime is 5801. The reversal of 5800 is 85.

5800 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 4356 + 1444 = 66^2 + 38^2 .

5800 is an undulating number in base 12.

It is not an unprimeable number, because it can be changed into a prime (5801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 186 + ... + 214.

2⁵⁸⁰⁰ is an apocalyptic number.

5800 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 5800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975).

5800 is an abundant number, since it is smaller than the sum of its proper divisors (8150).

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

5800 is a wasteful number, since it uses less digits than its factorization.

5800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 5800 is about 76.1577310586. The cubic root of 5800 is about 17.9670177914.

Adding to 5800 its reverse (85), we get a palindrome (5885).

The spelling of 5800 in words is "five thousand, eight hundred".