Suppose \(f: R \rightarrow(0, \infty)\) be a differentiable function such that \(5 f(x+y)=f(x) . f(y), \forall x, y \in …

Suppose \(f: R \rightarrow(0, \infty)\) be a differentiable function such that \(5 f(x+y)=f(x) . f(y), \forall x, y \in \mathrm{R}\). If \(f(3)=320\), then \(\sum_{n=0}^5 f(n)\) is equal to:

[JEE Main 2023, 30 Jan (Shift 1)]