5772748800 has 864 divisors, whose sum is σ = 24312506400. Its totient is φ = 1197342720.

The previous prime is 5772748783. The next prime is 5772748801. The reversal of 5772748800 is 88472775.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5772748800.

It is not an unprimeable number, because it can be changed into a prime (5772748801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97843171 + ... + 97843229.

It is an arithmetic number, because the mean of its divisors is an integer number (28139475).

Almost surely, 2^5772748800 is an apocalyptic number.

5772748800 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 5772748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156253200).

5772748800 is an abundant number, since it is smaller than the sum of its proper divisors (18539757600).

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

5772748800 is a wasteful number, since it uses less digits than its factorization.

5772748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 48.

The square root of 5772748800 is about 75978.6075155369. The cubic root of 5772748800 is about 1793.8834364348.

The spelling of 5772748800 in words is "five billion, seven hundred seventy-two million, seven hundred forty-eight thousand, eight hundred".