5680800 has 144 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 1509120.

The previous prime is 5680799. The next prime is 5680813. The reversal of 5680800 is 80865.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21469 + ... + 21731.

It is an arithmetic number, because the mean of its divisors is an integer number (143220).

Almost surely, 2^5680800 is an apocalyptic number.

5680800 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 5680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

5680800 is an abundant number, since it is smaller than the sum of its proper divisors (14942880).

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

5680800 is a wasteful number, since it uses less digits than its factorization.

5680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5680800 is about 2383.4428879249. The cubic root of 5680800 is about 178.4308043357.

The spelling of 5680800 in words is "five million, six hundred eighty thousand, eight hundred".