768261504 has 128 divisors (see below), whose sum is σ = 2222784000. Its totient is φ = 234178560.

The previous prime is 768261413. The next prime is 768261517. The reversal of 768261504 is 405162867.

768261504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 209769 + ... + 213399.

It is an arithmetic number, because the mean of its divisors is an integer number (17365500).

Almost surely, 2^768261504 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 768261504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111392000).

768261504 is an abundant number, since it is smaller than the sum of its proper divisors (1454522496).

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

768261504 is a wasteful number, since it uses less digits than its factorization.

768261504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 768261504 is about 27717.5306259414. The cubic root of 768261504 is about 915.8753223009.

The spelling of 768261504 in words is "seven hundred sixty-eight million, two hundred sixty-one thousand, five hundred four".