5800345600 has 405 divisors, whose sum is σ = 17775081723. Its totient is φ = 1871708160.

The previous prime is 5800345553. The next prime is 5800345609. The reversal of 5800345600 is 65430085.

The square root of 5800345600 is 76160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 135675904 + 5664669696 = 11648^2 + 75264^2 .

It is not an unprimeable number, because it can be changed into a prime (5800345609) 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 26 ways as a sum of consecutive naturals, for example, 341196792 + ... + 341196808.

Almost surely, 2^5800345600 is an apocalyptic number.

5800345600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5800345600 is the 76160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5800345600

5800345600 is an abundant number, since it is smaller than the sum of its proper divisors (11974736123).

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

5800345600 is an equidigital number, since it uses as much as digits as its factorization.

5800345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The cubic root of 5800345600 is about 1796.7374646489.

Multiplying 5800345600 by its product of nonzero digits (14400), we get a square (83524976640000 = 9139200²).

Adding to 5800345600 its reverse (65430085), we get a palindrome (5865775685).

The spelling of 5800345600 in words is "five billion, eight hundred million, three hundred forty-five thousand, six hundred".