That is correct — 270 uF, 16v. Electrolytic capacitors like these have a tolerance of 20% so the actual capacitance could be anywhere between 220 uF and 320 uF. Your replacement caps don't need to be of the same physical appearance or even manufacturer, so long as the specifications match close enough. I've replaced solid capacitors like these with regular capacitors without any longterm issues.
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www.overclockers.ua
This should work just fine:
330uF 25V Electrolytic Capacitor
sharvielectronics.com
High quality radial electrolytic capacitors. Work great as voltage noise suppressors for voltage regulators and as charge pump caps for MAX232 circuits.
probots.co.in
The number 270 is from the E12 series of logarithmic steps, which is sadly still considered a premium series of values even in 2022, so they're not as easily available as the E6 series online in India. Mostly because the E6 series is what's used by most hobbyist and educational material. 220 and 330 are from the E6 series. But if you have an electronics market nearby that caters to engineering students, you'll almost certainly find the 270uF capacitor there. It's a point of showing off with electronics engineering students to use rare components from the E12 or even E24 series, which hilariously always costs them marks because your circuit design is supposed to be easily replicated.
en.wikipedia.org