789609132 has 144 divisors (see below), whose sum is σ = 2314664352. Its totient is φ = 224778240.

The previous prime is 789609131. The next prime is 789609143. The reversal of 789609132 is 231906987.

789609132 is a `hidden beast` number, since 7 + 8 + 9 + 609 + 1 + 32 = 666.

789609132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (789609131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484503 + ... + 486129.

It is an arithmetic number, because the mean of its divisors is an integer number (16074058).

Almost surely, 2^789609132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 789609132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157332176).

789609132 is an abundant number, since it is smaller than the sum of its proper divisors (1525055220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

789609132 is a wasteful number, since it uses less digits than its factorization.

789609132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 789609132 is about 28099.9845551559. The cubic root of 789609132 is about 924.2810608415.

The spelling of 789609132 in words is "seven hundred eighty-nine million, six hundred nine thousand, one hundred thirty-two".