789640800 has 144 divisors (see below), whose sum is σ = 2768104080. Its totient is φ = 194365440.

The previous prime is 789640783. The next prime is 789640801. The reversal of 789640800 is 8046987.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (789640801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18546 + ... + 43854.

It is an arithmetic number, because the mean of its divisors is an integer number (19222945).

Almost surely, 2^789640800 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 789640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384052040).

789640800 is an abundant number, since it is smaller than the sum of its proper divisors (1978463280).

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

789640800 is a wasteful number, since it uses less digits than its factorization.

789640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25345 (or 25332 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 789640800 is about 28100.5480373604. The cubic root of 789640800 is about 924.2934170568.

The spelling of 789640800 in words is "seven hundred eighty-nine million, six hundred forty thousand, eight hundred".