Woeful weddings

Evie Bassett and Kiku Rossiter are getting married, but Kiku is having second thoughts. To increase Evie's embarrassment and shame when publicly rejects her, Kiku wants to invite as many people as possible. Unfortunately, his superstitious beliefs forbid him to invite more than a certain amount of people, whereupon the probability of more than one of the people sharing a birthday is more than 50% (i.e it's more likely).

What is the biggest number of people he can invite before the probability of two guests sharing a birthday is more than 50%?

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