According to Cot's Baseball contracts (unless I missed something), the Twins have committed $64 million in 2013 to the following players: Mauer, Morneau, Willingham, Doumit, Carroll, Span, Blackburn and Perkins. PLUS another $3 million to Nishoka. So that takes you to $64 or $67 million depending on how you view Nishioka.
But it ignores all the compensation to young players. My guess is that the $76 million is pretty close.