789129 has 16 divisors (see below), whose sum is σ = 1275840. Its totient is φ = 478080.

The previous prime is 789121. The next prime is 789133. The reversal of 789129 is 921987.

It is a happy number.

It is not a de Polignac number, because 789129 - 2³ = 789121 is a prime.

789129 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 789093 and 789102.

It is not an unprimeable number, because it can be changed into a prime (789121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032 + ... + 1625.

It is an arithmetic number, because the mean of its divisors is an integer number (79740).

2⁷⁸⁹¹²⁹ is an apocalyptic number.

It is an amenable number.

789129 is a deficient number, since it is larger than the sum of its proper divisors (486711).

789129 is a wasteful number, since it uses less digits than its factorization.

789129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2671 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 789129 is about 888.3293308228. The cubic root of 789129 is about 92.4093682524.

The spelling of 789129 in words is "seven hundred eighty-nine thousand, one hundred twenty-nine".