Okay, Danger Will Robinson. This could be filled up with the entire internet on honey bees. I will try for the readers digest version.
Honey bees are one species of Bees. There are currently estimated to be around 20,000 different species of bees. Most bees are solitary, live underground, and don't really make honey. Honey bees live in cavities, caves, openings, or even exposed like on tree branches. There are about 7 different species of honey bees and around 44 different subspecies of bees.
We really only have one type of honey bee in the US, Apis mellifera. Honey bees you generally talk about are a sub species to this species of honey bee (Italians, Russian, African, German, Caucasian, Buckfast, etc,). Fun Note: Bumble Bees are not honey bees. and are not even the species, but they are the same family.
The honey bee is not native to the US, it was brought in with the Jamestown settlers. Indians have a slang term for them...white man's flies. There are many native species of bees to the US but they are not honey bees.
The honey bee is an insect as are all bees. The honey bee has 6 legs, three body parts, head, thorax, and abdomen. It has 4 wings (not 2). It has 5 eyes, 2 large compound eyes and 3 small eyes on it's forehead called ocelli. There are three types of bees in a honey bee hive.
The hive when healthy and in peak times of the year will have anywhere from 50,000 to 80,000 bees. They hive numbers can get up into the 100,000 range but usually about that time the hive is looking to swarm. Anyone who tells you they had a hive with a million honey bees didn't count them. The numbers don't get that high.
Honey bees breed in a weird way, as if there isn't enough weird things about honey bees. You see thousands of stinging insects, the hive functions as a super organism. One big living thing. When there is plenty of resources the queen will lay lots of eggs. The hive population increases dramatically. It gets so big it gets way crowded and not very sustainable. The workers start saying this is way to damn crowded, the band sucks and the drinks are all watered down. We are leaving. So they start making queen cells which will be a new queen after much fighting. The old queen and half the honey bees leave in search of a new home. The bees and queen bounce from one place to another looking for a home. This cluster of bees is called a swarm. They have no comb and no steady home. They send out scout bees who look for a home. Sometimes they find your roof or wall, maybe your water meter. Honey bees will make homes in lots of things. Once they are building comb the queen will start laying gain. They will become more protective of this home. At this point they are no longer a swarm, they are a hive.