5744800 has 72 divisors (see below), whose sum is σ = 14436576. Its totient is φ = 2231040.

The previous prime is 5744777. The next prime is 5744803. The reversal of 5744800 is 84475.

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

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (5744803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34317 + ... + 34483.

It is an arithmetic number, because the mean of its divisors is an integer number (200508).

Almost surely, 2^5744800 is an apocalyptic number.

5744800 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 5744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218288).

5744800 is an abundant number, since it is smaller than the sum of its proper divisors (8691776).

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

5744800 is a wasteful number, since it uses less digits than its factorization.

5744800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 5744800 is about 2396.8312414519. The cubic root of 5744800 is about 179.0983719035.

The spelling of 5744800 in words is "five million, seven hundred forty-four thousand, eight hundred".