5760800 has 72 divisors (see below), whose sum is σ = 14842800. Its totient is φ = 2177280.

The previous prime is 5760767. The next prime is 5760803. The reversal of 5760800 is 80675.

It is a self number, because there is not a number n which added to its sum of digits gives 5760800.

It is not an unprimeable number, because it can be changed into a prime (5760803) 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, 15011 + ... + 15389.

It is an arithmetic number, because the mean of its divisors is an integer number (206150).

Almost surely, 2^5760800 is an apocalyptic number.

5760800 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 5760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7421400).

5760800 is an abundant number, since it is smaller than the sum of its proper divisors (9082000).

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

5760800 is a wasteful number, since it uses less digits than its factorization.

5760800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 5760800 is about 2400.1666608800. The cubic root of 5760800 is about 179.2644883758.

The spelling of 5760800 in words is "five million, seven hundred sixty thousand, eight hundred".