789696000 has 320 divisors, whose sum is σ = 2923652160. Its totient is φ = 210124800.

The previous prime is 789695987. The next prime is 789696001. The reversal of 789696000 is 696987.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (789696001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727772 + ... + 1728228.

It is an arithmetic number, because the mean of its divisors is an integer number (9136413).

Almost surely, 2^789696000 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 789696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461826080).

789696000 is an abundant number, since it is smaller than the sum of its proper divisors (2133956160).

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

789696000 is an equidigital number, since it uses as much as digits as its factorization.

789696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 789696000 is about 28101.5302074460. The cubic root of 789696000 is about 924.3149541945.

The spelling of 789696000 in words is "seven hundred eighty-nine million, six hundred ninety-six thousand".