We take security extremely seriously, so when searching for a payment processor with the same level of paranoia, we were happy to find Stripe.
We use the recommended security best practices to integrate with Stripe. This includes using a client-side Javascript library (Stripe.js) to ensure your browser encrypts and transmits billing info directly to Stripe for secure handling.
Stripe processes billions of dollars worth of transactions for thousands of companies, and is backed by industry leading investors, including Sequoia Capital, Andreessen Horowitz, and PayPal co-founders Peter Thiel, Max Levchin, and Elon Musk.
Quoting from Stripe's security page: