789128956800 has 1920 divisors, whose sum is σ = 3272624467200. Its totient is φ = 186325401600.

The previous prime is 789128956799. The next prime is 789128956801. The reversal of 789128956800 is 8659821987.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (789128956799) and next prime (789128956801).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (789128956801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7239715146 + ... + 7239715254.

It is an arithmetic number, because the mean of its divisors is an integer number (1704491910).

Almost surely, 2^789128956800 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 789128956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636312233600).

789128956800 is an abundant number, since it is smaller than the sum of its proper divisors (2483495510400).

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

789128956800 is a wasteful number, since it uses less digits than its factorization.

789128956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 789128956800 in words is "seven hundred eighty-nine billion, one hundred twenty-eight million, nine hundred fifty-six thousand, eight hundred".