5200800 has 144 divisors (see below), whose sum is σ = 18561312. Its totient is φ = 1254400.

The previous prime is 5200787. The next prime is 5200801. The reversal of 5200800 is 80025.

5200800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5200800.

It is not an unprimeable number, because it can be changed into a prime (5200801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26302 + ... + 26498.

It is an arithmetic number, because the mean of its divisors is an integer number (128898).

Almost surely, 2^5200800 is an apocalyptic number.

5200800 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 5200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9280656).

5200800 is an abundant number, since it is smaller than the sum of its proper divisors (13360512).

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

5200800 is a wasteful number, since it uses less digits than its factorization.

5200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5200800 is about 2280.5262550561. The cubic root of 5200800 is about 173.2567051162.

Adding to 5200800 its reverse (80025), we get a palindrome (5280825).

The spelling of 5200800 in words is "five million, two hundred thousand, eight hundred".