Prachi is from the Sanskrit प्राची (Prācī — east, eastern, dawn) — from Sanskrit prāc (forward/east). Prachi is one of the Sanskrit feminine names — central to traditional Hindu heritage. Sanskrit feminine name reflecting Hindu directional heritage.
Prachi does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Prachi reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.