820128795 has 32 divisors (see below), whose sum is σ = 1324857600. Its totient is φ = 433206144.

The previous prime is 820128767. The next prime is 820128847. The reversal of 820128795 is 597821028.

It is not a de Polignac number, because 820128795 - 2⁵ = 820128763 is a prime.

It is a super-2 number, since 2×820128795² = 1345222480776304050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1244176 + ... + 1244834.

It is an arithmetic number, because the mean of its divisors is an integer number (41401800).

Almost surely, 2^820128795 is an apocalyptic number.

820128795 is a deficient number, since it is larger than the sum of its proper divisors (504728805).

820128795 is a wasteful number, since it uses less digits than its factorization.

820128795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339.

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 820128795 is about 28637.8908965028. The cubic root of 820128795 is about 936.0391641605.

The spelling of 820128795 in words is "eight hundred twenty million, one hundred twenty-eight thousand, seven hundred ninety-five".