Sarge, From what I saw at the dealer it should work on a 200 watt inverter. Do you have a "Kill-a Watt" meter? I suggest that all boat owners have one. They meassure amps use, volts, frequency and watts. The unit plugs into a socket, and you plug your chager into the Kill-a-watt, to find out exactly how much power it uses. The "Kil-a-watt" plus a good digital volt meter will allow you to solve almost 100% of your electrical probems on a boat (house RV etc).
There is what is called a "power factor" for a battery charger, and I am not sure what it is for this charger. The "power factor" for an inductive load in a battery charger is basically the amount more power (volts/amps) required to produce the charging output. For example if it is 80% more power required for this output, it has a power factor of .80.
The theoretical requirement is about 80 watts, but I suggest 200 watts to be sure that you have enough resever for an inverter.