5781190800 has 960 divisors, whose sum is σ = 25241241600. Its totient is φ = 1094860800.

The previous prime is 5781190757. The next prime is 5781190817. The reversal of 5781190800 is 80911875.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64957156 + ... + 64957244.

It is an arithmetic number, because the mean of its divisors is an integer number (26292960).

Almost surely, 2^5781190800 is an apocalyptic number.

5781190800 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 5781190800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620620800).

5781190800 is an abundant number, since it is smaller than the sum of its proper divisors (19460050800).

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

5781190800 is a wasteful number, since it uses less digits than its factorization.

5781190800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The square root of 5781190800 is about 76034.1423309292. The cubic root of 5781190800 is about 1794.7574618698.

The spelling of 5781190800 in words is "five billion, seven hundred eighty-one million, one hundred ninety thousand, eight hundred".