8005080005 has 16 divisors (see below), whose sum is σ = 10347682800. Its totient is φ = 5909925888.

The previous prime is 8005079987. The next prime is 8005080023. The reversal of 8005080005 is 5000805008.

It is an interprime number because it is at equal distance from previous prime (8005079987) and next prime (8005080023).

It can be written as a sum of positive squares in 8 ways, for example, as 164685889 + 7840394116 = 12833^2 + 88546^2 .

It is a cyclic number.

It is not a de Polignac number, because 8005080005 - 2¹⁰ = 8005078981 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282149 + ... + 309221.

It is an arithmetic number, because the mean of its divisors is an integer number (646730175).

Almost surely, 2^8005080005 is an apocalyptic number.

It is an amenable number.

8005080005 is a deficient number, since it is larger than the sum of its proper divisors (2342602795).

8005080005 is a wasteful number, since it uses less digits than its factorization.

8005080005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31640.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 8005080005 is about 89471.1126844860. The cubic root of 8005080005 is about 2000.4232441759.

It can be divided in two parts, 800 and 5080005, that added together give a palindrome (5080805).

The spelling of 8005080005 in words is "eight billion, five million, eighty thousand, five".