5704800 has 72 divisors (see below), whose sum is σ = 18576936. Its totient is φ = 1520640.

The previous prime is 5704789. The next prime is 5704801. The reversal of 5704800 is 84075.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5704801) 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, 1212 + ... + 3588.

It is an arithmetic number, because the mean of its divisors is an integer number (258013).

Almost surely, 2^5704800 is an apocalyptic number.

5704800 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 5704800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9288468).

5704800 is an abundant number, since it is smaller than the sum of its proper divisors (12872136).

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

5704800 is a wasteful number, since it uses less digits than its factorization.

5704800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5704800 is about 2388.4723151002. The cubic root of 5704800 is about 178.6817269055.

Adding to 5704800 its reverse (84075), we get a palindrome (5788875).

The spelling of 5704800 in words is "five million, seven hundred four thousand, eight hundred".