5708800 has 66 divisors (see below), whose sum is σ = 14214368. Its totient is φ = 2273280.

The previous prime is 5708783. The next prime is 5708803. The reversal of 5708800 is 88075.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5708803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25489 + ... + 25711.

Almost surely, 2^5708800 is an apocalyptic number.

5708800 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 5708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7107184).

5708800 is an abundant number, since it is smaller than the sum of its proper divisors (8505568).

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

5708800 is a wasteful number, since it uses less digits than its factorization.

5708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 5708800 is about 2389.3095236909. The cubic root of 5708800 is about 178.7234788762.

The spelling of 5708800 in words is "five million, seven hundred eight thousand, eight hundred".