5808800 has 72 divisors (see below), whose sum is σ = 14553756. Its totient is φ = 2263040.

The previous prime is 5808799. The next prime is 5808809. The reversal of 5808800 is 88085.

It can be written as a sum of positive squares in 6 ways, for example, as 2999824 + 2808976 = 1732^2 + 1676^2 .

It is not an unprimeable number, because it can be changed into a prime (5808809) 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, 42332 + ... + 42468.

Almost surely, 2^5808800 is an apocalyptic number.

5808800 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 5808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7276878).

5808800 is an abundant number, since it is smaller than the sum of its proper divisors (8744956).

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

5808800 is a wasteful number, since it uses less digits than its factorization.

5808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 5808800 is about 2410.1452238403. The cubic root of 5808800 is about 179.7609996731.

The spelling of 5808800 in words is "five million, eight hundred eight thousand, eight hundred".