789856704 has 224 divisors, whose sum is σ = 2858455040. Its totient is φ = 208272384.

The previous prime is 789856681. The next prime is 789856709. The reversal of 789856704 is 407658987.

789856704 is a `hidden beast` number, since 78 + 9 + 8 + 567 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×789856704² = 1247747225707487232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (789856709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154737 + ... + 159759.

It is an arithmetic number, because the mean of its divisors is an integer number (12760960).

Almost surely, 2^789856704 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 789856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429227520).

789856704 is an abundant number, since it is smaller than the sum of its proper divisors (2068598336).

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

789856704 is a wasteful number, since it uses less digits than its factorization.

789856704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 789856704 is about 28104.3894080622. The cubic root of 789856704 is about 924.3776496433.

The spelling of 789856704 in words is "seven hundred eighty-nine million, eight hundred fifty-six thousand, seven hundred four".