please review these specs and comment

Looking for a gaming and for general use but haven't got a lot of cash if you can go lower than 800 and show me that its still capable of hardcore games that would be appreciated. Run current games with 60 fps and high settings.

Chassis & Display
Cosmos Series: 17.3" Matte Full HD LED Widescreen (1920x1080)
Processor (CPU)
Intel® Core™i7 Quad Core Mobile Processor i7-4710MQ (2.50GHz) 6MB
Memory (RAM)
8GB KINGSTON SODIMM DDR3 1600MHz (1 x 8GB)
Graphics Card
NVIDIA® GeForce® GT 840M - 2.0GB DDR3 Video RAM - DirectX® 11
1st Hard Disk
1TB SERIAL ATA II 2.5" HARD DRIVE WITH 8MB CACHE (5,400rpm)
1st DVD/BLU-RAY Drive
8x SATA DVD±R/RW/Dual Layer (+ 24x CD-RW)
Memory Card Reader
Internal 9 in 1 Card Reader (MMC/RSMMC/SD: Mini, XC & HC/MS: Pro & Duo)
Thermal Paste
STANDARD THERMAL PASTE FOR SUFFICIENT COOLING
Sound Card
Intel 2 Channel High Definition Audio + MIC/Headphone Jack
Wireless/Wired Networking
GIGABIT LAN & WIRELESS INTEL® N-7260 HMC (300Mbps, 802.11BGN) + BLUETOOTH
USB Options
3 x USB 3.0 PORTS + 1 x USB 2.0 PORT AS STANDARD
Battery
Cosmos Series 6 Cell Lithium Ion Battery (48.84WH)
Power Cable
1 x UK Power Lead & 90W AC Adaptor
Keyboard Language
COSMOS 17" SERIES UK KEYBOARD WITH NUMBER PAD (NON-BACKLIT)
Operating System
Genuine Windows 8.1 64 Bit - inc DVD & Licence
Windows 10 Upgrade
FREE Upgrade to Windows 10 with all Windows 7 & Windows 8.1 Purchases
DVD Recovery Media
Windows 8.1 (64-bit) DVD with paper sleeve
Office Software
Microsoft® Office Home & Student 2013 (1 License & Disc)
Anti-Virus
BULLGUARD INTERNET SECURITY - FREE 90 DAY TRIAL
Mouse
LOGITECH® OPTICAL USB MOUSE
Webcam
INTEGRATED 2.0 MEGAPIXEL WEBCAM
Warranty
3 Year Silver Warranty (1 Year Collect & Return, 1 Year Parts, 3 Year Labour)
Insurance
1 Month Free Laptop Insurance inc. Accidental Damage & Theft
Delivery
STANDARD INSURED DELIVERY TO UK MAINLAND (MON-FRI)
Build Time
Standard Build - Approximately 3 to 5 working days
Quantity
1

Without indicating your intended use is difficult to give feedback

You mention that you're wanting to play games at 60fps at high, I'd consider changing the GPU to the 860M or the GTX850 if possible. Also most games aren't that CPU intensive so consider saving some money and changing to an i5 processor. I hope this helped.

Does it have to be a laptop?

And the 840m is not designed for gaming, I have the 850m and it can run games on medium-high at 30-60fps depending on the game.

You won't be able to get a laptop for £800 that can run everything on high at 60fps, but you would be able to with a desktop.