789505272 has 128 divisors (see below), whose sum is σ = 2281267200. Its totient is φ = 252720000.

The previous prime is 789505247. The next prime is 789505273. The reversal of 789505272 is 272505987.

It is a happy number.

789505272 is a `hidden beast` number, since 78 + 9 + 50 + 527 + 2 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (789505273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050897 + ... + 1051647.

It is an arithmetic number, because the mean of its divisors is an integer number (17822400).

Almost surely, 2^789505272 is an apocalyptic number.

789505272 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 789505272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140633600).

789505272 is an abundant number, since it is smaller than the sum of its proper divisors (1491761928).

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

789505272 is a wasteful number, since it uses less digits than its factorization.

789505272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 789505272 is about 28098.1364506616. The cubic root of 789505272 is about 924.2405344442.

The spelling of 789505272 in words is "seven hundred eighty-nine million, five hundred five thousand, two hundred seventy-two".