What size power station do you need to run a CPAP for three nights of camping?

Short answer: 1,355 Wh of rated capacity — that's the ~2 kWh — large class. Three nights off-grid with no hookup. Turning the humidifier off is the single biggest saving.

The math, appliance by appliance

ApplianceAvg drawHours usedEnergy
CPAP (no humidifier)40 W24 h960 Wh
Energy needed over 72 hours960 Wh
÷ 0.85 inverter efficiency1,129 Wh
× 1.2 headroom (ageing, cold, overrun)1,355 Wh
Recommended: ~2 kWh — large class. Output check: 40 W continuous, 40 W surge.

Fridges and freezers use their average cycling draw for energy and full compressor draw for the output check — that's why the numbers differ from the label.

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Quick answers

Can a smaller unit than 1,355 Wh work?
The bare energy need is 1,129 Wh after inverter losses; the extra 20% covers battery ageing, cold weather, and outages running long. A smaller unit works on a good day — this size works on a bad one.
What about output watts, not just capacity?
These loads draw 40 W continuously with no motor surges — any unit big enough on capacity is big enough on output.
Could solar keep this running indefinitely?
Roughly 107 W of panels replaces a day's usage with ~4 hours of decent sun at real-world (75%) efficiency. Half that solar doubles your runtime instead of sustaining it.