5785200 has 90 divisors (see below), whose sum is σ = 20088744. Its totient is φ = 1541760.

The previous prime is 5785193. The next prime is 5785207. The reversal of 5785200 is 25875.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5785193) and next prime (5785207).

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5785207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2797 + ... + 4403.

Almost surely, 2^5785200 is an apocalyptic number.

5785200 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 5785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10044372).

5785200 is an abundant number, since it is smaller than the sum of its proper divisors (14303544).

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

5785200 is a wasteful number, since it uses less digits than its factorization.

5785200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1617 counting only the distinct ones).

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

The square root of 5785200 is about 2405.2442703393. The cubic root of 5785200 is about 179.5172248325.

It can be divided in two parts, 578 and 5200, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 5785200 in words is "five million, seven hundred eighty-five thousand, two hundred".