This is the 5235th most frequent Japanese word.
願
"願" (gan) means "wish," "desire," or "prayer."
Here, '願い' (negai) means 'wish' or 'hope', showing it as a noun referring to a heartfelt desire.
あなたの願いを叶えるために努力します。
I will strive to fulfill your wish.
In this sentence, '願っています' (ganatteimasu) expresses 'wishing' or 'hoping', demonstrating the verb form of '願' being used in an auxiliary manner.
成功を願っています。
I wish you success.
The structure '願わくば' (negawaku wa) indicates an earnest or formal wish, using '願' in a set expression.