768783104 has 36 divisors (see below), whose sum is σ = 1548697920. Its totient is φ = 380851200.

The previous prime is 768783091. The next prime is 768783121. The reversal of 768783104 is 401387867.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14129 + ... + 41679.

Almost surely, 2^768783104 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 768783104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774348960).

768783104 is an abundant number, since it is smaller than the sum of its proper divisors (779914816).

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

768783104 is a wasteful number, since it uses less digits than its factorization.

768783104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27676 (or 27662 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The square root of 768783104 is about 27726.9382370286. The cubic root of 768783104 is about 916.0825488302.

The spelling of 768783104 in words is "seven hundred sixty-eight million, seven hundred eighty-three thousand, one hundred four".