765438688 has 48 divisors (see below), whose sum is σ = 1727115264. Its totient is φ = 327116160.

The previous prime is 765438659. The next prime is 765438691. The reversal of 765438688 is 886834567.

It is a super-2 number, since 2×765438688² = 1171792770174322688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 77553 + ... + 86863.

It is an arithmetic number, because the mean of its divisors is an integer number (35981568).

Almost surely, 2^765438688 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 765438688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863557632).

765438688 is an abundant number, since it is smaller than the sum of its proper divisors (961676576).

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

765438688 is a wasteful number, since it uses less digits than its factorization.

765438688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9695 (or 9687 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 55.

The square root of 765438688 is about 27666.5626343426. The cubic root of 765438688 is about 914.7522149479.

It can be divided in two parts, 765 and 438688, that added together give a triangular number (439453 = T₉₃₇).

The spelling of 765438688 in words is "seven hundred sixty-five million, four hundred thirty-eight thousand, six hundred eighty-eight".