820507314 has 16 divisors (see below), whose sum is σ = 1790197920. Its totient is φ = 248638560.

The previous prime is 820507309. The next prime is 820507327. The reversal of 820507314 is 413705028.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6215899 + ... + 6216030.

It is an arithmetic number, because the mean of its divisors is an integer number (111887370).

Almost surely, 2^820507314 is an apocalyptic number.

820507314 is an abundant number, since it is smaller than the sum of its proper divisors (969690606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820507314 is a wasteful number, since it uses less digits than its factorization.

820507314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12431945.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 820507314 is about 28644.4988435825. The cubic root of 820507314 is about 936.1831472827.

The spelling of 820507314 in words is "eight hundred twenty million, five hundred seven thousand, three hundred fourteen".