768037824 has 84 divisors (see below), whose sum is σ = 2237633320. Its totient is φ = 251804160.

The previous prime is 768037811. The next prime is 768037841. The reversal of 768037824 is 428730867.

It is a happy number.

768037824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×768037824³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 768037824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24207 + ... + 46065.

Almost surely, 2^768037824 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 768037824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118816660).

768037824 is an abundant number, since it is smaller than the sum of its proper divisors (1469595496).

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

768037824 is a wasteful number, since it uses less digits than its factorization.

768037824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21938 (or 21925 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 768037824 is about 27713.4953407180. The cubic root of 768037824 is about 915.7864277096.

The spelling of 768037824 in words is "seven hundred sixty-eight million, thirty-seven thousand, eight hundred twenty-four".