5920800 has 72 divisors (see below), whose sum is σ = 19280016. Its totient is φ = 1578240.

The previous prime is 5920787. The next prime is 5920801. The reversal of 5920800 is 80295.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5920801) 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, 1167 + ... + 3633.

It is an arithmetic number, because the mean of its divisors is an integer number (267778).

Almost surely, 2^5920800 is an apocalyptic number.

5920800 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 5920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9640008).

5920800 is an abundant number, since it is smaller than the sum of its proper divisors (13359216).

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

5920800 is a wasteful number, since it uses less digits than its factorization.

5920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5920800 is about 2433.2694055529. The cubic root of 5920800 is about 180.9089822494.

The spelling of 5920800 in words is "five million, nine hundred twenty thousand, eight hundred".