Unregistered; the neighbouring 8675 belongs to Motorola, this one to nobody.
IANA has no assignment for 8676 on TCP or UDP. Nmap carries it as "unknown" with an open rate near 0.015%, and no widely deployed software documents it as a default. The adjacent Motorola registration on 8675 says nothing about this port.
Expose with care
No registry meaning at all. Identify the process before deciding whether it belongs on a reachable interface.
$ sudo lsof -nP -iTCP:8676 -sTCP:LISTENSeen this on your network? Beige Box scans your Wi-Fi and shows every open port on every device — and its Ports tool links straight back here.
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Corrections or a missing port? Reply @rimrocksystems.