In Jain Dharma, a jīva can have many labdhis, because labdhi means special spiritual or karmic capacity.

If you mean the commonly mentioned primary labdhis, then 8 labdhis are often spoken of.

So, in short:

• Primary count: 8
• In broader sense: many / countless kinds, depending on karma and spiritual development

If you want, I can also list the 8 labdhis in simple Hindi or English.