5782576800 has 1152 divisors, whose sum is σ = 26458306560. Its totient is φ = 1057996800.

The previous prime is 5782576799. The next prime is 5782576823. The reversal of 5782576800 is 86752875.

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 5782576800.

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, 69669559 + ... + 69669641.

It is an arithmetic number, because the mean of its divisors is an integer number (22967280).

Almost surely, 2^5782576800 is an apocalyptic number.

5782576800 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 5782576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13229153280).

5782576800 is an abundant number, since it is smaller than the sum of its proper divisors (20675729760).

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

5782576800 is a wasteful number, since it uses less digits than its factorization.

5782576800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The square root of 5782576800 is about 76043.2561112424. The cubic root of 5782576800 is about 1794.9008772528.

The spelling of 5782576800 in words is "five billion, seven hundred eighty-two million, five hundred seventy-six thousand, eight hundred".