Perhaps the better question is what do you want to know? Or why do you want to know it? What would you do with your VO2max value, if you knew it?
The lab room definition of VO2max is the maximum volume of oxygen you can consume in 1 minute (L/min). Usually it is "normalized" by dividing by your weight (ml/min/kg).
The basic idea is that more oxygen consumption per minute translates into more energy production per minute, and more energy leads to faster times. It is an indirect measure of performance potential (but not a very good one). If you have a low VO2max, you want to increase it, but this is not the only goal. You want a relatively high VO2max, but your "maximum" VO2max is not necessarily the "optimal" VO2max value.
VO2max has problems. First, it is not easy to measure accurately. And second, an accurate measurement is not that useful, as it can vary greatly between equal performing athletes. You can compare absolute values with yourself, but not so much with other athletes. A major reason for this has to do with running efficiency (how much energy produced goes to your legs) and running economy (how the energy produced translates to speed). When you have a good running economy, you consume less oxygen to achieve the same speed.
As previously mentioned, your pace at your VO2max is more interesting than your oxygen consumption at VO2max.
A better value for training purposes, which is easier and cheaper to measure, and pace oriented, is Jack Daniels VDOT. It looks like VO2max, but is really a race time in disguise, just "normalized" for distance, and scaled to look like VO2max. With this VDOT value, you can compare performances at different distances, and determine suitable training paces.
From your 1600m time, your VDOT is 59. From your 5000m time, your VDOT is 54. From your 800m time, your VDOT is 63. Note that VDOT, being a pseudo "aerobic" metric, becomes less accurate for middle and short distances. Your 800m VDOT is higher, due to non-aerobic energy contribution.
You might be tempted to conclude that a broad range of 54-63 is too broad to be useful, but VDOT can also help you determine which event is weaker and where you might want to develop. From this we can see that your 5K time is weaker than your other times. This might be normal if you are a natural middle distance runner, but it might also be a sign that you should work on endurance.