There are a lot more manuscripts in the university collection. An 1839 catalogue of the manuscripts can be read here
http://idb.ub.uni-tuebingen.de/diglit/MhIII118-1/0001?sid=f05289236bd266a5dac38880a4071119
870 is the figure given on http://idb.ub.uni-tuebingen.de/digitue/tue/Ma_I_Indische_Handschriften

best wishes
Shyamal