5718800 has 90 divisors (see below), whose sum is σ = 15066558. Its totient is φ = 2078720.

The previous prime is 5718799. The next prime is 5718809. The reversal of 5718800 is 88175.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 719104 + 4999696 = 848^2 + 2236^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (5718809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 197186 + ... + 197214.

Almost surely, 2^5718800 is an apocalyptic number.

5718800 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 5718800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533279).

5718800 is an abundant number, since it is smaller than the sum of its proper divisors (9347758).

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

5718800 is a wasteful number, since it uses less digits than its factorization.

5718800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 5718800 is about 2391.4012628582. The cubic root of 5718800 is about 178.8277735468.

The spelling of 5718800 in words is "five million, seven hundred eighteen thousand, eight hundred".