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The armor cap is actually at 667. Its just that every piece of armor (as well as shields) provides a hidden 25 points of protection. So if you have a full suit of armor plus a shield, you hit the cap at a displayed rating of 542. Full suit of armor but no shield, its 567. If you go the mage route and don't wear armor at all, you need a displayed rating of 667.
Note that other defenses have a cap as well. There is a cap on magic resistance and on each energy resistance. Though energy attacks are also magic attacks, so both energy resistance and magic resistance apply to things like a dragons fire breath.
Likewise magic and elemental resistance caps at the same. You can't be fully immune to damage.
80%, and it's obtained with 667 armor. It's just that every piece of armor (no clothing or jewelry) has an invisible 25 armor, including shields. Steven has the slightly more detailed info.
I edited my post probably like seconds before you posted this lol.
But yeah, thanks for the correction on the 85%. I guess it's actually 80%. I think it was 85 for oblivion.
This here is correct. Its only the hidden +25 armor per armor item equipped in an armor slot that makes things a bit confusing.
UESP also says that a Breton Vampire with the right perks and abilities (Agent of Mara + the Necromage perk and all three levels of Magic Resistance) can achieve a magic resistance of 87.5%, just barely over the normal cap. Doesn't work when you have have the unofficial patch though.
Resistance to magic caps at 85%, as does resistance to an element, but if you combine the two carefully you can get almost 97.75% resistance (engine stll messes up some of the maths so it's never exactly what it should be)