The default setting for my route planner is via Rouen and puts it at around 8 hours drive time.
Via Paris has roughly the same drive time but IMO & IME via Rouen carries far fewer risks of it going wrong. If you get a traffic jam via Rouen then you have a chance of getting round it by going off-piste. Via Paris then unless you know Paris like a Parisian taxi driver you are stuck with the main routes which will be full.
Plus the service stations round Paris are generally grotty!