789894144 has 264 divisors, whose sum is σ = 2592975840. Its totient is φ = 229588992.

The previous prime is 789894113. The next prime is 789894181. The reversal of 789894144 is 441498987.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (2322432) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2276179 + ... + 2276525.

Almost surely, 2^789894144 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 789894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296487920).

789894144 is an abundant number, since it is smaller than the sum of its proper divisors (1803081696).

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

789894144 is a wasteful number, since it uses less digits than its factorization.

789894144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 384 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 789894144 is about 28105.0554882925. The cubic root of 789894144 is about 924.3922548884.

The spelling of 789894144 in words is "seven hundred eighty-nine million, eight hundred ninety-four thousand, one hundred forty-four".