5840800 has 108 divisors (see below), whose sum is σ = 16698150. Its totient is φ = 1989120.

The previous prime is 5840789. The next prime is 5840801. The reversal of 5840800 is 80485.

It can be written as a sum of positive squares in 3 ways, for example, as 3111696 + 2729104 = 1764^2 + 1652^2 .

It is a super-2 number, since 2×5840800² = 68229889280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5840801) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 39126 + ... + 39274.

Almost surely, 2^5840800 is an apocalyptic number.

5840800 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 5840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8349075).

5840800 is an abundant number, since it is smaller than the sum of its proper divisors (10857350).

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

5840800 is a wasteful number, since it uses less digits than its factorization.

5840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 5840800 is about 2416.7747102285. The cubic root of 5840800 is about 180.0904894810.

It can be divided in two parts, 58 and 40800, that multiplied together give a triangular number (2366400 = T₂₁₇₅).

The spelling of 5840800 in words is "five million, eight hundred forty thousand, eight hundred".