I have seen sentences like 我们学校有500人。
Why doesn't it have a measure word?
Can 人 appear without a measure word like the words 年 and 天?
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Yes, in many cases, the measure word 个 is omitted.
However, the omission of 个 usually means formality. That means we omit it when we talk in a formal way, eg. report news. But when we talk casually with friends, we tend to add 个: