Thats not a palm at all it is a cycad and one porbally over 100 years old... I think a king sago but maybe a type of dioon. someone can tell you for sure. good luck and very very nice plant

Its a sago palm. It isnt acutally a palm, it is a cycad. They look similar to palms, but are very primitive dating back to the age of dinosaurs. They are usually slow growers and dont get very tall (but can after 100's of years). Thats the reason why they are expenisive. Yours might be 40+ years old. It makes babies by seeds (see second pic), but it is easier to take the babies off it growing on the bottom. The previous owner probably removed the babies off this plant so it looks like a single plant.
They are pretty common plants and are commonly planted from the coast of south carolina, through florida, on the gulf coast, warmer areas of texas, and through coastal california. It will probably lose its leaves after 20-25F but can survive down to 15F and lower with protection.

Good luck!

Cycas revoluta (king sago)

Thanks for the info. Looks like I have a male plant. I think it had a couple babies attached and the landlords gardener made off with them.

yes King sago.... and im sure its almost a hundred years old from the height of it looking 6-7 feet at the top... heres a pic of another 100+ year old king sago. being that you live in a zone 10 and u have a full year growing season it could be just a little younger... good luck nice cycad!

Its up there age wise. I have no doubt that it is 50 years or older. I dont think it is 100 because California has a great climate and they grow much faster there than in colder areas, but it could be up to and maybe over 75 years old. Its not a cheap plant at that size!

Good luck and enjoy . Mine has a new flush starting to come up a little, but it probably wont be ready to make new leaves until the spring. Unlike palms