5758200 has 144 divisors (see below), whose sum is σ = 22148880. Its totient is φ = 1313280.

The previous prime is 5758177. The next prime is 5758229. The reversal of 5758200 is 28575.

It is a happy number.

It is a congruent number.

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, 12372 + ... + 12828.

Almost surely, 2^5758200 is an apocalyptic number.

5758200 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 5758200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11074440).

5758200 is an abundant number, since it is smaller than the sum of its proper divisors (16390680).

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

5758200 is a wasteful number, since it uses less digits than its factorization.

5758200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5758200 is about 2399.6249706985. The cubic root of 5758200 is about 179.2375153971.

The spelling of 5758200 in words is "five million, seven hundred fifty-eight thousand, two hundred".