8072082006 has 8 divisors (see below), whose sum is σ = 16144164024. Its totient is φ = 2690694000.

The previous prime is 8072081981. The next prime is 8072082019. The reversal of 8072082006 is 6002802708.

It is a sphenic number, since it is the product of 3 distinct primes.

8072082006 is an admirable number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 672673495 + ... + 672673506.

It is an arithmetic number, because the mean of its divisors is an integer number (2018020503).

Almost surely, 2^8072082006 is an apocalyptic number.

8072082006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

8072082006 is a wasteful number, since it uses less digits than its factorization.

8072082006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345347006.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 8072082006 is about 89844.7661580796. The cubic root of 8072082006 is about 2005.9888825760.

The spelling of 8072082006 in words is "eight billion, seventy-two million, eighty-two thousand, six".