We summarize the approach leading to the dynamical mean-field equation for the spike emission rate $\nu(t)$ of an interacting population of Integrate-and-Fire (IF) neurons derived in \cite{md02}. Building on the results concerning the stability conditions and finite-size effects, we investigate how such properties are affected by a non-trivial distribution of spike transmission delays. The main findings are: i) the stability of the collective asynchronous states is improved by widening the distribution of delays; ii) high-frequency components of the power spectrum of the collective activity are damped; iii) Details of the stability and spectral properties are strongly affected by the shape of the delay distribution. We present quantitative predictions from the theory and we demonstrate a very good agreement with simulations.