789930468 has 180 divisors, whose sum is σ = 2220427440. Its totient is φ = 244671840.

The previous prime is 789930413. The next prime is 789930481. The reversal of 789930468 is 864039987.

789930468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13388623 + ... + 13388681.

It is an arithmetic number, because the mean of its divisors is an integer number (12335708).

Almost surely, 2^789930468 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 789930468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110213720).

789930468 is an abundant number, since it is smaller than the sum of its proper divisors (1430496972).

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

789930468 is a wasteful number, since it uses less digits than its factorization.

789930468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 789930468 is about 28105.7016991215. The cubic root of 789930468 is about 924.4064243439.

The spelling of 789930468 in words is "seven hundred eighty-nine million, nine hundred thirty thousand, four hundred sixty-eight".