Organisms that secrete digestive enzymes externally to digest dead organic food are called saprotrophs or decomposers.

Here's why:

* Saprotrophs: This term specifically refers to organisms that obtain nutrients from dead organic matter by secreting digestive enzymes.

* Decomposers: This term is a broader category that includes all organisms that break down dead organic matter, including saprotrophs, but also includes some organisms that use other methods like mechanical breakdown.

Examples of saprotrophs include fungi, bacteria, and some protists. They play a crucial role in ecosystems by breaking down dead organisms and waste products, returning nutrients to the soil for other organisms to use.