The First Doctor was about 450 years old when he regenerated due to old age. The Eleventh had been around for 600 years, so he did pretty well considering.
The Eighth Doctor was 1600 years old. He died of old age as the War Doctor, then became the Ninth Doctor and was 900 years old again. It's safe to say that the multiple times the Doctor says the age he gives is meaningless is the only meaningful thing he has to say about his age.
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