A lengthy article which may be of interest:
Roman Empire Strikes Back
Source: heritagedaily.com
Date: 6 March, 2020
The accepted date for the collapse of the Western Roman Empire was approximately 476 CE, when the last true Roman Emperor Romulus was overthrown by Odoacer, the Germanic leader who became the first Barbarian to rule Rome.
As the sun was setting on the west, in the east an enduring legacy carried on with the Byzantine Empire, otherwise known as the Eastern Roman Empire.
The Eastern Empire was spared many of the difficulties faced by the west, in part to an established centre of trade, greater financial resources and investment in defending its borders through both construction projects, diplomacy and tributes. The borders of the Empire evolved significantly over time, as it went through several cycles of decline and recovery.
Whilst never fully matching the glory of Imperial Rome in terms of territories in Byzantine control, the Eastern Empire would still grow to become one of the most powerful economic, cultural and military forces across Europe.
It wasn’t until the reign of Justinian I that thoughts turned to “renovatio imperii” – restoration of the Empire. The Byzantines still referred to their empire as “Imperium Romanum” (Roman Empire) and to themselves as “Roman”.
https://www.heritagedaily.com/2020/03/roman-empire-strikes-back/118039