820010079 has 24 divisors (see below), whose sum is σ = 1433296800. Its totient is φ = 441013248.

The previous prime is 820010071. The next prime is 820010111. The reversal of 820010079 is 970010028.

820010079 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 820010079 - 2³ = 820010071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820010071) 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, 381754 + ... + 383895.

It is an arithmetic number, because the mean of its divisors is an integer number (59720700).

Almost surely, 2^820010079 is an apocalyptic number.

820010079 is a deficient number, since it is larger than the sum of its proper divisors (613286721).

820010079 is a wasteful number, since it uses less digits than its factorization.

820010079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765679 (or 765676 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 820010079 is about 28635.8181129857. The cubic root of 820010079 is about 935.9939971947.

The spelling of 820010079 in words is "eight hundred twenty million, ten thousand, seventy-nine".