768827761 has 16 divisors (see below), whose sum is σ = 886334400. Its totient is φ = 660927168.

The previous prime is 768827711. The next prime is 768827767. The reversal of 768827761 is 167728867.

It is a cyclic number.

It is not a de Polignac number, because 768827761 - 2²¹ = 766730609 is a prime.

It is a super-3 number, since 3×768827761³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 768827699 and 768827708.

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, 11806 + ... + 40951.

It is an arithmetic number, because the mean of its divisors is an integer number (55395900).

Almost surely, 2^768827761 is an apocalyptic number.

It is an amenable number.

768827761 is a deficient number, since it is larger than the sum of its proper divisors (117506639).

768827761 is a wasteful number, since it uses less digits than its factorization.

768827761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52848.

The product of its digits is 1580544, while the sum is 52.

The square root of 768827761 is about 27727.7435252132. The cubic root of 768827761 is about 916.1002862588.

The spelling of 768827761 in words is "seven hundred sixty-eight million, eight hundred twenty-seven thousand, seven hundred sixty-one".