769127568 has 80 divisors (see below), whose sum is σ = 2195097600. Its totient is φ = 230106240.

The previous prime is 769127563. The next prime is 769127591. The reversal of 769127568 is 865721967.

It is a self number, because there is not a number n which added to its sum of digits gives 769127568.

It is not an unprimeable number, because it can be changed into a prime (769127563) 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 15 ways as a sum of consecutive naturals, for example, 32493 + ... + 50931.

It is an arithmetic number, because the mean of its divisors is an integer number (27438720).

Almost surely, 2^769127568 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 769127568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097548800).

769127568 is an abundant number, since it is smaller than the sum of its proper divisors (1425970032).

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

769127568 is a wasteful number, since it uses less digits than its factorization.

769127568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18540 (or 18534 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 769127568 is about 27733.1492622097. The cubic root of 769127568 is about 916.2193495911.

The spelling of 769127568 in words is "seven hundred sixty-nine million, one hundred twenty-seven thousand, five hundred sixty-eight".