The 78511-436H is a 36-position, single-row Bergstik II unshrouded header from the standard 0.100" (2.54 mm) pitch family.
The 36 positions are the primary BOM match: confirm your circuit count against this number, not a nearby variant. The 5 A per contact rating is adequate for signal-level currents and moderate power distribution, but the tin plating (100.0 µin / 2.54 µm on the mating surface) limits the connector to applications with fewer than 50 mating cycles — tin wears faster than gold under repeated engagement. For a one-time assembly or infrequent field service, tin is cost-effective; for frequent reconnection, a gold-plated sibling would hold up longer.
The overall contact length of 0.538" (13.67 mm) with a 0.318" (8.08 mm) mating section means the pin protrudes enough for a positive wipe inside the receptacle socket.