768827763 has 48 divisors (see below), whose sum is σ = 1235520000. Its totient is φ = 456805440.

The previous prime is 768827711. The next prime is 768827767. The reversal of 768827763 is 367728867.

It is not a de Polignac number, because 768827763 - 2¹² = 768823667 is a prime.

It is a super-2 number, since 2×768827763² = 1182192258319168338, which contains 22 as substring.

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

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1540488 + ... + 1540986.

It is an arithmetic number, because the mean of its divisors is an integer number (25740000).

Almost surely, 2^768827763 is an apocalyptic number.

768827763 is a deficient number, since it is larger than the sum of its proper divisors (466692237).

768827763 is a wasteful number, since it uses less digits than its factorization.

768827763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 789 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 768827763 is about 27727.7435612781. The cubic root of 768827763 is about 916.1002870531.

The spelling of 768827763 in words is "seven hundred sixty-eight million, eight hundred twenty-seven thousand, seven hundred sixty-three".