Please have a look at the power label and get the 12 volt rails. For a light system, you may be able to get away with 18-20amps, but if you have anything even remotely power hungry, it may just blow up in your face.
From the link above,
• Effi ciency: >65% at full load, nominal line
That is just BAD and an older design, most likely pushing high current on its 5 and 3.3 lines.
This is simply not the way PC's run now days, its all about the 12 volt power(and that is only a portion of the 450watts. On a good power supply, it will be 80-90% of the total, on older and lower end units, it will be 40-50% or lower of the total power).
There are many 450 watt power supplies out there with a little over 200 watts on the 12 volt rails. I have a bad feeling this one may fall into that category.
Straight to the answer about 8.5 amps(MAX, not always) will run a 6770 by it self. This does not include the cpu and other parts.