5302800 has 120 divisors (see below), whose sum is σ = 18912480. Its totient is φ = 1411200.

The previous prime is 5302799. The next prime is 5302807. The reversal of 5302800 is 82035.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5302807) 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, 10555 + ... + 11045.

It is an arithmetic number, because the mean of its divisors is an integer number (157604).

Almost surely, 2^5302800 is an apocalyptic number.

5302800 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 5302800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9456240).

5302800 is an abundant number, since it is smaller than the sum of its proper divisors (13609680).

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

5302800 is a wasteful number, since it uses less digits than its factorization.

5302800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5302800 is about 2302.7809274875. The cubic root of 5302800 is about 174.3820381019.

Adding to 5302800 its reverse (82035), we get a palindrome (5384835).

The spelling of 5302800 in words is "five million, three hundred two thousand, eight hundred".