768534912 has 256 divisors, whose sum is σ = 2444083200. Its totient is φ = 236888064.

The previous prime is 768534901. The next prime is 768534917. The reversal of 768534912 is 219435867.

768534912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (362880) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768534917) 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, 6051393 + ... + 6051519.

It is an arithmetic number, because the mean of its divisors is an integer number (9547200).

Almost surely, 2^768534912 is an apocalyptic number.

768534912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768534912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222041600).

768534912 is an abundant number, since it is smaller than the sum of its proper divisors (1675548288).

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

768534912 is a wasteful number, since it uses less digits than its factorization.

768534912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 768534912 is about 27722.4622283087. The cubic root of 768534912 is about 915.9839562924.

The spelling of 768534912 in words is "seven hundred sixty-eight million, five hundred thirty-four thousand, nine hundred twelve".