It depends how much time you have to spare. You can drive that distance in 2-3 days non-stop. But as said above - 10 days would be nice and enough to see quite much of Norway.
Kristiandsand to Bergen via Stavanger, 2 days.
Sightseing spots: Lysefjorden, Preikestolen,
Bergen to Trondheim via Geiranger, Åndalsnes, Kristandsund, 2-3 days
Sightseing spots: Geirangerfjorden, Trollstigen, Atlanterhavsveien (The Atlantic-ocean road)
Trondheim to Bodø via Kystriksveien route 17 (The coastal highway) 2 days.
Sightseing spots are many.....
Bodø to Tromsø via the islands of Lofoten, Vesterålen and Senja, 2 days
Sightseing spots are many....
Tromsø to Nordkapp, 1,5-2 days
Sightseing spots are many...
Nordkapp to Vardø, 1 long day.....
Sightseing spots: The abandoned fishing village of Hamningberg (The end of Europe), Nordpol kro in Vardø (The Nortpole pub in Vardø....
) and more....