What you have is a non-isolated off-line, low current power supply. The large film capacitors probably are part of a voltage reduction or current limiting circuit.
The missing cap probably was a film type like the other reddish-brown ones on the board. What is printed on the smaller one in the upper right corner?
Since everything else has the component value in the legend, look under the burned resistor. It might be a box with letters/numbers inside. For example, 1R0 is a 1.0 ohm, 22R is 22 ohms, 1K0 is a.0 Kohm, etc. The letter is both the multiplier and the decimal point location.
Visually inspect the fuse in the upper left corner (or test it with a meter).
Gold star for the nice clear photos. Any way to get a similar view of the bottom side of the board?
The cap is rated 400 V because peak AC out of the bridge (the four rectifier diodes) is 340 V. I'm assuming you're in the U.K because of your last name and "torch". If the two big caps are there to drop the line voltage, there is no voltage drop across them if the load is disconnected; full line voltage appears across everything downstream.
Based on the relative size of the diodes, I think the two 1 M resistors are 1/4 W; 1/2 W at the largest.
13001 is a small NPN transistor, 400 V, 300 mA, recommended for high speed switch and high voltage applications.
I think the burned resistor is smaller than 1 M. At 240 Vac, a 1 M resistor dissipates only 60 mW, not nearly enough to fry it. At worst case 340 Vdc across the filter cap, it still comes to only 115 mW.
ak