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In English we sometimes abbreviate Number of as No. (as confusing as that can be when it is taken out of context). E.g.:
Number of dogs → No. Dogs
Google Translate tells me the same phrase translates as
Nombre de chiens
Is there an equivalent French abbreviation for Nombre de?
Une abréviation courante est Nb
Par exemple
Nb étudiants: 307
Nombre or nombre de isn't usually abbreviated in plain sentences in French. Among neat-looking¹ abbreviations, except for “n. d.” which would likely be ambiguous, “nb. d.” appears to be the only possibility (but classified as a retranchement multiple and advised against).
In telegraphic style, outside of a sentence, Nb is however often used for nombre de (cf. @rds example).
Notice that numéro (which is also translated as number and abbreviated # in English) has a standard and sometimes mandatory abbreviation when followed by a number: no (the letter o is found in exponent¹), plural would be nos.
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1. More details in Orthotypographie, or probably any other specialized book on the topic.
As far as I know, there is no such thing in French, though the abbreviation nbr can be used if there is a lack of space.
By the way, the numéro symbol № (or n°) is rather used as # in English, e.g. in Exercice № 2713 for Exercise #2713, than as a shortcut for number of.
