The regulator has a linear drop of ~1V, better than the 2V of the 780X series. This means you need to provide at least 4.3V to get a clean 3.3V output.

This regulator is often used to supply 5V power to a clean 3.3V. There is a steady "quiescent" current draw of 5 mA. This regulator can provide up to 800 mA as long as it has proper heat sinking. The higher the input voltage and output current, the more heat it will generate. Without additional heatsinking, you can dissipate up to 2W.