820688275 has 24 divisors (see below), whose sum is σ = 1117674000. Its totient is φ = 592828800.

The previous prime is 820688263. The next prime is 820688279. The reversal of 820688275 is 572886028.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-820688275 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820688279) 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, 30961 + ... + 50989.

It is an arithmetic number, because the mean of its divisors is an integer number (46569750).

Almost surely, 2^820688275 is an apocalyptic number.

820688275 is a deficient number, since it is larger than the sum of its proper divisors (296985725).

820688275 is a wasteful number, since it uses less digits than its factorization.

820688275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20199 (or 20194 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 820688275 is about 28647.6574085910. The cubic root of 820688275 is about 936.2519665699.

The spelling of 820688275 in words is "eight hundred twenty million, six hundred eighty-eight thousand, two hundred seventy-five".