5775580800 has 768 divisors, whose sum is σ = 23677056000. Its totient is φ = 1363046400.

The previous prime is 5775580757. The next prime is 5775580817. The reversal of 5775580800 is 80855775.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 56073549 + ... + 56073651.

It is an arithmetic number, because the mean of its divisors is an integer number (30829500).

Almost surely, 2^5775580800 is an apocalyptic number.

5775580800 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 5775580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11838528000).

5775580800 is an abundant number, since it is smaller than the sum of its proper divisors (17901475200).

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

5775580800 is a wasteful number, since it uses less digits than its factorization.

5775580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The square root of 5775580800 is about 75997.2420552220. The cubic root of 5775580800 is about 1794.1767367631.

The spelling of 5775580800 in words is "five billion, seven hundred seventy-five million, five hundred eighty thousand, eight hundred".