8082512800 has 144 divisors (see below), whose sum is σ = 20653678080. Its totient is φ = 3082787840.

The previous prime is 8082512783. The next prime is 8082512807. The reversal of 8082512800 is 82152808.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8082512807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9365169 + ... + 9366031.

It is an arithmetic number, because the mean of its divisors is an integer number (143428320).

Almost surely, 2^8082512800 is an apocalyptic number.

8082512800 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 8082512800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10326839040).

8082512800 is an abundant number, since it is smaller than the sum of its proper divisors (12571165280).

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

8082512800 is a wasteful number, since it uses less digits than its factorization.

8082512800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 8082512800 is about 89902.7963969976. The cubic root of 8082512800 is about 2006.8525610552.

The spelling of 8082512800 in words is "eight billion, eighty-two million, five hundred twelve thousand, eight hundred".