820694307 has 24 divisors (see below), whose sum is σ = 1137528000. Its totient is φ = 526161616.

The previous prime is 820694263. The next prime is 820694311. The reversal of 820694307 is 703496028.

820694307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820694307 - 2⁶ = 820694243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820694327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389944 + ... + 392042.

It is an arithmetic number, because the mean of its divisors is an integer number (47397000).

Almost surely, 2^820694307 is an apocalyptic number.

820694307 is a deficient number, since it is larger than the sum of its proper divisors (316833693).

820694307 is a wasteful number, since it uses less digits than its factorization.

820694307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 820694307 is about 28647.7626875119. The cubic root of 820694307 is about 936.2542603592.

The spelling of 820694307 in words is "eight hundred twenty million, six hundred ninety-four thousand, three hundred seven".