I want to open the port number of 7810 in my sun sparc workstation. I wonder how to do this work?

What do you mean, open port 7820 ?
as a server ?
as a client ?
as a firewall ?

I am sorry that i did not explain clealy about my question. let me give you more info.
<1> I want to use a Hspice application in my sun workstation.
And the license file is located in the server organized by University site.
In the configuratoin manual I am told to open the port number of 6780 or 6781 if my sun workstation
is behind a firewall. Now My sun workstation accesses network through a gateway. I think my sunWS
is behind firewall.

<2> Also I can source a csh shell script file to set up applicatoin environment varialbes. In this script there is a line of LM_LICENSE_FILE: 1500@my_host_name. Is it means the port number of 1700 is opened in my sun workstation?

Okay, I see.
The problem the 7810 port need to be opened on the firewall itself.
There's nothing you can do on the Solaris machine apart perhaps tunneling this 7810 port through ssh, assuming ssh is open between the sun workstation and the university server.