5716800 has 126 divisors (see below), whose sum is σ = 20370038. Its totient is φ = 1520640.

The previous prime is 5716787. The next prime is 5716801. The reversal of 5716800 is 86175.

It can be written as a sum of positive squares in 3 ways, for example, as 627264 + 5089536 = 792^2 + 2256^2 .

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5716801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14202 + ... + 14598.

Almost surely, 2^5716800 is an apocalyptic number.

5716800 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 5716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10185019).

5716800 is an abundant number, since it is smaller than the sum of its proper divisors (14653238).

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

5716800 is a wasteful number, since it uses less digits than its factorization.

5716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5716800 is about 2390.9830614206. The cubic root of 5716800 is about 178.8069243448.

The spelling of 5716800 in words is "five million, seven hundred sixteen thousand, eight hundred".