Bhani is from the Punjabi bhan (to like, to be pleasing). Bibi Bhani (1535-1598) was the daughter of the third Sikh Guru Amar Das, wife of the fourth Guru Ram Das, and mother of the fifth Guru Arjan Dev — the only woman in Sikh history to occupy this triple sacred relationship to the Gurus. Her devotion is celebrated as a model of grace.
Among the most revered Sikh women.
Bhani 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 Bhani reduce to 7, The Seeker. This is a traditional interpretive system, not a factual claim about the name.