789262128 has 240 divisors, whose sum is σ = 2506982400. Its totient is φ = 230307840.

The previous prime is 789262121. The next prime is 789262129. The reversal of 789262128 is 821262987.

789262128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (789262121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3302233 + ... + 3302471.

It is an arithmetic number, because the mean of its divisors is an integer number (10445760).

Almost surely, 2^789262128 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 789262128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253491200).

789262128 is an abundant number, since it is smaller than the sum of its proper divisors (1717720272).

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

789262128 is a wasteful number, since it uses less digits than its factorization.

789262128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 351 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 789262128 is about 28093.8094248537. The cubic root of 789262128 is about 924.1456452261.

The spelling of 789262128 in words is "seven hundred eighty-nine million, two hundred sixty-two thousand, one hundred twenty-eight".