Your feed is way too small, use #2 Gage and you'l be fine. 16 gage is not even in the ballpark to draw the approx 62.5 Amps at 12 Volt you need to produce 750 Watts, which is about 6.25 Amps at 120VAC. You will not likely get 62 Amps available for the invertor at idle.
EDIT: tech12volt is right, 4 ga. will be fine. I like overkill.

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Majestic Blue 2006 XE CC 2WD Big Tow
AEM BruteForce CAI; PowerAid TBS; MagnaFlow 3" x 24" Muffler; UpRev 93 Tuned; Detroit TrueTrac
Stillen Front and Rear AntiSway Bars, Diff. Cover, Front Rotors & Pads
PRG 2-1/2" and 1" MiniLift, Street Traction Bars
DYNO: 308 RWHP & 380 RWTQ
~CRANK: 360 HP & 450 TQ
Born June 12, 2006
Adopted June 27, 2006
14.792 secs at 91.04 mph prior to TrueTrac
Member of the Charm City TitansIRC VK56 Member "Special Operations"