789671232 has 168 divisors, whose sum is σ = 2607259200. Its totient is φ = 223838208.

The previous prime is 789671231. The next prime is 789671263. The reversal of 789671232 is 232176987.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (789671231) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 559744 + ... + 561152.

It is an arithmetic number, because the mean of its divisors is an integer number (15519400).

Almost surely, 2^789671232 is an apocalyptic number.

789671232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 789671232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303629600).

789671232 is an abundant number, since it is smaller than the sum of its proper divisors (1817587968).

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

789671232 is a wasteful number, since it uses less digits than its factorization.

789671232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1560 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 789671232 is about 28101.0895162447. The cubic root of 789671232 is about 924.3052906986.

The spelling of 789671232 in words is "seven hundred eighty-nine million, six hundred seventy-one thousand, two hundred thirty-two".