769999968 has 144 divisors (see below), whose sum is σ = 2267240976. Its totient is φ = 247726080.

The previous prime is 769999963. The next prime is 770000009. The reversal of 769999968 is 869999967.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 769999896 and 769999905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769999963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1200928 + ... + 1201568.

It is an arithmetic number, because the mean of its divisors is an integer number (15744729).

Almost surely, 2^769999968 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 769999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133620488).

769999968 is an abundant number, since it is smaller than the sum of its proper divisors (1497241008).

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

769999968 is a wasteful number, since it uses less digits than its factorization.

769999968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 786 counting only the distinct ones).

The product of its digits is 119042784, while the sum is 72.

The square root of 769999968 is about 27748.8732744232. The cubic root of 769999968 is about 916.5656327360.

Subtracting 769999968 from its reverse (869999967), we obtain a palindrome (99999999).

The spelling of 769999968 in words is "seven hundred sixty-nine million, nine hundred ninety-nine thousand, nine hundred sixty-eight".