8282025600 has 192 divisors, whose sum is σ = 27497763840. Its totient is φ = 2190827520.

The previous prime is 8282025559. The next prime is 8282025613. The reversal of 8282025600 is 65202828.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 1215804 + ... + 1222596.

It is an arithmetic number, because the mean of its divisors is an integer number (143217520).

Almost surely, 2^8282025600 is an apocalyptic number.

8282025600 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 8282025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13748881920).

8282025600 is an abundant number, since it is smaller than the sum of its proper divisors (19215738240).

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

8282025600 is a wasteful number, since it uses less digits than its factorization.

8282025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947 (or 6930 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 8282025600 is about 91005.6349903675. The cubic root of 8282025600 is about 2023.2312431960.

The spelling of 8282025600 in words is "eight billion, two hundred eighty-two million, twenty-five thousand, six hundred".