8008076007 has 12 divisors (see below), whose sum is σ = 11849348784. Its totient is φ = 5208504480.

The previous prime is 8008075997. The next prime is 8008076039. The reversal of 8008076007 is 7006708008.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-8008076007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008076807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10850683 + ... + 10851420.

It is an arithmetic number, because the mean of its divisors is an integer number (987445732).

Almost surely, 2^8008076007 is an apocalyptic number.

8008076007 is a deficient number, since it is larger than the sum of its proper divisors (3841272777).

8008076007 is a wasteful number, since it uses less digits than its factorization.

8008076007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21702150 (or 21702147 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 8008076007 is about 89487.8539635408. The cubic root of 8008076007 is about 2000.6727742454.

The spelling of 8008076007 in words is "eight billion, eight million, seventy-six thousand, seven".