8082000612 has 192 divisors, whose sum is σ = 24675840000. Its totient is φ = 2286440352.

The previous prime is 8082000559. The next prime is 8082000631. The reversal of 8082000612 is 2160002808.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 3962689 + ... + 3964727.

It is an arithmetic number, because the mean of its divisors is an integer number (128520000).

Almost surely, 2^8082000612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8082000612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920000).

8082000612 is an abundant number, since it is smaller than the sum of its proper divisors (16593839388).

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

8082000612 is a wasteful number, since it uses less digits than its factorization.

8082000612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8082000612 is about 89899.9477864142. The cubic root of 8082000612 is about 2006.8101688133.

The spelling of 8082000612 in words is "eight billion, eighty-two million, six hundred twelve", and thus it is an aban number.