5753800 has 48 divisors (see below), whose sum is σ = 14413140. Its totient is φ = 2123520.

The previous prime is 5753777. The next prime is 5753801. The reversal of 5753800 is 83575.

It can be written as a sum of positive squares in 6 ways, for example, as 2951524 + 2802276 = 1718^2 + 1674^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5753801) 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, 1494 + ... + 3706.

Almost surely, 2^5753800 is an apocalyptic number.

5753800 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 5753800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7206570).

5753800 is an abundant number, since it is smaller than the sum of its proper divisors (8659340).

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

5753800 is a wasteful number, since it uses less digits than its factorization.

5753800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 5753800 is about 2398.7079855622. The cubic root of 5753800 is about 179.1918503150.

The spelling of 5753800 in words is "five million, seven hundred fifty-three thousand, eight hundred".