Ohm's law.
Its never to early to learn math! We marvel at our children when they learn to speak their first word, even so when they first count to ten. Even when they can perform more complex mathematical calculations such as the Pythagorean theorem!
http://www.corrosion-doctors.org/Biographies/OhmBio.htm#Ohm%20lawAs you may already know, Ohm's law simply stated is that;
watts / volts = amps, or, amps x volts = watts, and so on.
What I like to do when calculating a PV/battery system is to take the load in watt hours for a 24 hour period and divide by a nominal battery voltage. I'll chose 12 vdc nominal. 17,640 / 12 = 1,470 amphours. I would then multiply this 1,479 x 5 = 7,350. That multiplier of 5 keeps the load over 24 hours within the top 20% of battery charge giving you about 3 maybe 4 days of autonomy (no Sun.)
Then to size the PV array take that same 17,640 watt hours and divide by the number of equivalent full rated charge hours.
http://rredc.nrel.gov/solar/old_data/nsrdb/redbook/atlas/ For this example I will use 4 hours. Yours may vary.
17,640 / 4 = 4,410 watt PV array.
So altogether we are looking at a 4,410 watt PV array charging a 7,470 amp hour battery bank at 12 volts nominal.
Sounds like a lot doesn't it? Wait til you see the price tag. Welcome to the world of Photovoltaics!
Lets go back to your figures of 7.1 amps
and 700 watts. 700 / 7.1 = 98.6 volts
700 x 24 =16,800
120 volts x .35 amps = 42 watts
42 x 24 = 1008 for a total of 17,808 watt hours or 17.8 kWh.
If you were to by this at the national average of $0.09 per kWh it would cost you $1.60 a day.
Obviously there has to be a compromise some where. Could we eliminate the batteries and just let the PV array run your system during sunny days? Maybe find a more efficient ;12, 24, or 48 vdc pump and UV system? Somebody is bound to make them.