767734968 has 128 divisors (see below), whose sum is σ = 2577093120. Its totient is φ = 184066560.

The previous prime is 767734967. The next prime is 767734969. The reversal of 767734968 is 869437767.

767734968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (767734967) and next prime (767734969).

It is a super-2 number, since 2×767734968² = 1178833962179922048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (767734967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8046 + ... + 40002.

It is an arithmetic number, because the mean of its divisors is an integer number (20133540).

Almost surely, 2^767734968 is an apocalyptic number.

767734968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 767734968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288546560).

767734968 is an abundant number, since it is smaller than the sum of its proper divisors (1809358152).

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

767734968 is a wasteful number, since it uses less digits than its factorization.

767734968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31997 (or 31993 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 57.

The square root of 767734968 is about 27708.0307492250. The cubic root of 767734968 is about 915.6660395945. Note that the first 3 decimals are identical.

The spelling of 767734968 in words is "seven hundred sixty-seven million, seven hundred thirty-four thousand, nine hundred sixty-eight".