5759800 has 48 divisors (see below), whose sum is σ = 13838400. Its totient is φ = 2227200.

The previous prime is 5759797. The next prime is 5759801. The reversal of 5759800 is 89575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5759801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5736 + ... + 6664.

It is an arithmetic number, because the mean of its divisors is an integer number (288300).

Almost surely, 2^5759800 is an apocalyptic number.

5759800 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 5759800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919200).

5759800 is an abundant number, since it is smaller than the sum of its proper divisors (8078600).

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

5759800 is a wasteful number, since it uses less digits than its factorization.

5759800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 5759800 is about 2399.9583329716. The cubic root of 5759800 is about 179.2541151139.

The spelling of 5759800 in words is "five million, seven hundred fifty-nine thousand, eight hundred".