768827760 has 80 divisors (see below), whose sum is σ = 2416988160. Its totient is φ = 202128640.

The previous prime is 768827711. The next prime is 768827767. The reversal of 768827760 is 67728867.

768827760 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 (80).

It is a super-2 number, since 2×768827760² = 1182192249093235200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768827767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5520 + ... + 39599.

It is an arithmetic number, because the mean of its divisors is an integer number (30212352).

Almost surely, 2^768827760 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 768827760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208494080).

768827760 is an abundant number, since it is smaller than the sum of its proper divisors (1648160400).

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

768827760 is a wasteful number, since it uses less digits than its factorization.

768827760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45206 (or 45200 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The square root of 768827760 is about 27727.7435071807. The cubic root of 768827760 is about 916.1002858616.

The spelling of 768827760 in words is "seven hundred sixty-eight million, eight hundred twenty-seven thousand, seven hundred sixty".