5180800 has 48 divisors (see below), whose sum is σ = 12806100. Its totient is φ = 2071040.

The previous prime is 5180771. The next prime is 5180807. The reversal of 5180800 is 80815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5180807) 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, 2391 + ... + 4009.

Almost surely, 2^5180800 is an apocalyptic number.

5180800 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 5180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403050).

5180800 is an abundant number, since it is smaller than the sum of its proper divisors (7625300).

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

5180800 is a wasteful number, since it uses less digits than its factorization.

5180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 5180800 is about 2276.1370784731. The cubic root of 5180800 is about 173.0343300065.

The spelling of 5180800 in words is "five million, one hundred eighty thousand, eight hundred".