KöMaL 2007 K129

At the beginning of the new schoolyear Pete started to print the sequence 200720082007200820072008... on his computer. The printer however ran out of ink after the $2007^{th}$ digit has been printed. The amount of ink to print a digit 2 is 2/3 of the amount to print a 0 or 8, while printing a digit 7 requires half the amount of ink to print a 2. How many 7's could have been printed using the original amount of ink in the printed?