# A Lot of Phi's

Do you know Euler's Totient Function? You probably do.

The function $$\phi(n)$$ stands for the number of positive integers less than or equal to n that are relatively prime to n.

In this problem, you will receive a list of a list of numbers, and you must answer the value of the sum of Euler's Totient Function for every number in that list. As the sum may be too big, you must give the answer modulo 1,000,000,007.

For example, if the list was {3, 5, 7}, your answer should be: $$\phi(3) + \phi(5) + \phi(7) = 2 + 4 + 6 = 12$$