Initially it was selected to by architect Irving Morrow to complement the natural surroundings and enhance visibility in the SF fog. Don't know about visibility in fog, but I have found to to be a very pleasant and timeless colour that adds warmth to any room, be it a restaurant, a home or a setting.
The closest existing colour codes to the Golden Gate Bridge International Orange are
PMS 173 (CYMK = 0%, 80%, 94%, 1%),
PMS 174 (CYMK 8%, 85%, 100%, 34%)
Pantone 180 (CYMK 19.4%, 77.9%, 79.6%, 3.6%)
Alternatively, put some flowers in your hair and go match the samples in San Francisco. Be careful not to leave your heart there, though.