Calculating the roman pantheon

Header image problemThe Roman pantheon consisted of a large number of deities.

The Roman chronicler Problematus recorded that a limited number of their gods would be sufficient to have as deities. He noted this because you could have a sum of four numbers, and replace digits with letters (always replace the same digit with the same letter), and get:
Alphametic roman pantheon

What numbers do the letters stand for?

You can check your solutions here


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