789780768 has 96 divisors (see below), whose sum is σ = 2377589760. Its totient is φ = 224866560.

The previous prime is 789780743. The next prime is 789780779. The reversal of 789780768 is 867087987.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207103 + ... + 210881.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^789780768 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 789780768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188794880).

789780768 is an abundant number, since it is smaller than the sum of its proper divisors (1587808992).

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

789780768 is a wasteful number, since it uses less digits than its factorization.

789780768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 60.

The square root of 789780768 is about 28103.0384122429. The cubic root of 789780768 is about 924.3480257928.

The spelling of 789780768 in words is "seven hundred eighty-nine million, seven hundred eighty thousand, seven hundred sixty-eight".