5807200 has 144 divisors (see below), whose sum is σ = 17436384. Its totient is φ = 1843200.

The previous prime is 5807173. The next prime is 5807209. The reversal of 5807200 is 27085.

5807200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5807209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95170 + ... + 95230.

It is an arithmetic number, because the mean of its divisors is an integer number (121086).

Almost surely, 2^5807200 is an apocalyptic number.

5807200 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 5807200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8718192).

5807200 is an abundant number, since it is smaller than the sum of its proper divisors (11629184).

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

5807200 is a wasteful number, since it uses less digits than its factorization.

5807200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 5807200 is about 2409.8132707743. The cubic root of 5807200 is about 179.7444934520.

The spelling of 5807200 in words is "five million, eight hundred seven thousand, two hundred".