5302620800 has 96 divisors (see below), whose sum is σ = 13284194400. Its totient is φ = 2091084800.

The previous prime is 5302620781. The next prime is 5302620803. The reversal of 5302620800 is 80262035.

It is a self number, because there is not a number n which added to its sum of digits gives 5302620800.

It is not an unprimeable number, because it can be changed into a prime (5302620803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215531 + ... + 238869.

It is an arithmetic number, because the mean of its divisors is an integer number (138377025).

Almost surely, 2^5302620800 is an apocalyptic number.

5302620800 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 5302620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642097200).

5302620800 is an abundant number, since it is smaller than the sum of its proper divisors (7981573600).

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

5302620800 is a wasteful number, since it uses less digits than its factorization.

5302620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23434 (or 23417 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 5302620800 is about 72819.0963964811. The cubic root of 5302620800 is about 1743.8007375515.

Adding to 5302620800 its reverse (80262035), we get a palindrome (5382882835).

The spelling of 5302620800 in words is "five billion, three hundred two million, six hundred twenty thousand, eight hundred".