789967728 has 280 divisors, whose sum is σ = 2576192256. Its totient is φ = 232502400.

The previous prime is 789967687. The next prime is 789967771. The reversal of 789967728 is 827769987.

It is a super-2 number, since 2×789967728² = 1248098022562963968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 6030223 + ... + 6030353.

Almost surely, 2^789967728 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 789967728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288096128).

789967728 is an abundant number, since it is smaller than the sum of its proper divisors (1786224528).

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

789967728 is a wasteful number, since it uses less digits than its factorization.

789967728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 194 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 63.

The square root of 789967728 is about 28106.3645461308. The cubic root of 789967728 is about 924.4209584677.

The spelling of 789967728 in words is "seven hundred eighty-nine million, nine hundred sixty-seven thousand, seven hundred twenty-eight".