789368832 has 468 divisors, whose sum is σ = 2913374880. Its totient is φ = 204374016.

The previous prime is 789368819. The next prime is 789368843. The reversal of 789368832 is 238863987.

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

Its product of digits (3483648) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34320373 + ... + 34320395.

It is an arithmetic number, because the mean of its divisors is an integer number (6225160).

Almost surely, 2^789368832 is an apocalyptic number.

789368832 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 789368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456687440).

789368832 is an abundant number, since it is smaller than the sum of its proper divisors (2124006048).

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

789368832 is a wasteful number, since it uses less digits than its factorization.

789368832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 789368832 is about 28095.7084267331. The cubic root of 789368832 is about 924.1872898585.

The spelling of 789368832 in words is "seven hundred eighty-nine million, three hundred sixty-eight thousand, eight hundred thirty-two".