These are simple unicellular organisms that lack a well-defined nucleus and other membrane-bound organelles.
Bacteria and archaea belong to prokaryotes.
Escherichia coli, Pseudomonas, staphylococcus, Lactobacillus, etc are some examples of bacteria.
Bacteria usually do not invade other cells but some intra-cellular pathogenic bacteria can invade other host cells.
Bacteria usually remain outside the host and derive nutrition and multiply like Helicobacter pylori.
But some bacteria are capable of binding with certain receptors in the host cell allowing them to enter the cell cytoplasm in membranous vacuoles or by getting ingested by macrophages.
Once inside, they multiply and destroy the host cell like Pseudomonas aeruginosa.