Amps x Volts = Watts. 847W running.
And motors, especially pumps, have huge surge currents. Meaning the amps can be 10 times higher when first turned on.
If it is 10X, then 8470W.
If the inverter is 85% efficient, 847W / 0.85 = 1000W out of the battery.
Amps x Volts = Watts, meaning Watts / Volts = Amps, meaning 83A.
A large car sized (G27) true deep cycle battery is rated about 110AH at the 20H rate, meaning it will run it about an hour. That would be severe abuse to the battery causing it to have a very short life.
A 200W 12V nominal panel makes about 11.8A of 12V power at high noon in perfect conditions.
The pump needs 83A of 12V power.
Might look into a DC pump. They tend to be more efficient.
This is a fan, but the principles are the same,
http://www.fieldlines.com/story/2007/3/10/23942/1876
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