Charles Babbage, born on December 26, 1791, is known as the 'father of computing' for originating the concept of a programmable computer and inventing the first mechanical computer. His key inventions include the difference engine and the analytical engine, which laid the groundwork for modern computing despite never being fully completed due to funding and design challenges. Babbage was also a prominent figure in mathematics and astronomy, co-founding the Royal Astronomical Society in 1820.