5300800 has 42 divisors (see below), whose sum is σ = 13047218. Its totient is φ = 2119680.

The previous prime is 5300777. The next prime is 5300803. The reversal of 5300800 is 80035.

It can be written as a sum of positive squares in 3 ways, for example, as 1236544 + 4064256 = 1112^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (5300803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57 + ... + 3256.

Almost surely, 2^5300800 is an apocalyptic number.

5300800 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 5300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523609).

5300800 is an abundant number, since it is smaller than the sum of its proper divisors (7746418).

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

5300800 is a wasteful number, since it uses less digits than its factorization.

5300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5300800 is about 2302.3466289853. The cubic root of 5300800 is about 174.3601120796.

Adding to 5300800 its reverse (80035), we get a palindrome (5380835).

The spelling of 5300800 in words is "five million, three hundred thousand, eight hundred".