AC voltages are usually expressed as RMS which is the voltage that would give you the same power as a DC voltage of that value. Peak voltage is 1.414 times that and peak to peak voltage is twice that or 2.818.
When AC voltage is rectified, either with a half wave rec6tifier or a full wave rectifier, the peak DC voltage is 1.414 times the AC RMS voltage, providing there is no load. If there is a filter capacitor in the circuit, the capacitor will charge to the peak voltage, again with no load. As a load is applied, the output voltage will drop with increasing load. In real circuits, the DC output voltage is usually somewhere between the RMS and the peak voltage.
As for the OP's original question, it appears the 80 volts is a safe maximum voltage in either case. If I was concerned about doing damage, I would limit the voltage to that value until I had a definitive answer.