5005800 has 144 divisors (see below), whose sum is σ = 17603040. Its totient is φ = 1321920.

The previous prime is 5005799. The next prime is 5005817. The reversal of 5005800 is 85005.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48549 + ... + 48651.

Almost surely, 2^5005800 is an apocalyptic number.

5005800 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 5005800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8801520).

5005800 is an abundant number, since it is smaller than the sum of its proper divisors (12597240).

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

5005800 is a wasteful number, since it uses less digits than its factorization.

5005800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5005800 is about 2237.3645210381. The cubic root of 5005800 is about 171.0636881880.

The spelling of 5005800 in words is "five million, five thousand, eight hundred".