5772844800 has 648 divisors, whose sum is σ = 22062837888. Its totient is φ = 1437696000.

The previous prime is 5772844757. The next prime is 5772844807. The reversal of 5772844800 is 84482775.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5772844807) 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 71 ways as a sum of consecutive naturals, for example, 94636770 + ... + 94636830.

Almost surely, 2^5772844800 is an apocalyptic number.

5772844800 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 5772844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031418944).

5772844800 is an abundant number, since it is smaller than the sum of its proper divisors (16289993088).

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

5772844800 is a wasteful number, since it uses less digits than its factorization.

5772844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 5772844800 is about 75979.2392696847. The cubic root of 5772844800 is about 1793.8933803893.

The spelling of 5772844800 in words is "five billion, seven hundred seventy-two million, eight hundred forty-four thousand, eight hundred".