8005252800 has 336 divisors, whose sum is σ = 27439315200. Its totient is φ = 2040729600.

The previous prime is 8005252793. The next prime is 8005252817. The reversal of 8005252800 is 82525008.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18234981 + ... + 18235419.

Almost surely, 2^8005252800 is an apocalyptic number.

8005252800 is a gapful number since it is divisible by the number (80) 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 8005252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13719657600).

8005252800 is an abundant number, since it is smaller than the sum of its proper divisors (19434062400).

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

8005252800 is a wasteful number, since it uses less digits than its factorization.

8005252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 8005252800 is about 89472.0783261460. The cubic root of 8005252800 is about 2000.4376375630.

Adding to 8005252800 its reverse (82525008), we get a palindrome (8087777808).

The spelling of 8005252800 in words is "eight billion, five million, two hundred fifty-two thousand, eight hundred".