765434080 has 96 divisors (see below), whose sum is σ = 1842462720. Its totient is φ = 300464640.

The previous prime is 765434077. The next prime is 765434101. The reversal of 765434080 is 80434567.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2824345 + ... + 2824615.

It is an arithmetic number, because the mean of its divisors is an integer number (19192320).

Almost surely, 2^765434080 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 765434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921231360).

765434080 is an abundant number, since it is smaller than the sum of its proper divisors (1077028640).

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

765434080 is a wasteful number, since it uses less digits than its factorization.

765434080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 765434080 is about 27666.4793567957. The cubic root of 765434080 is about 914.7503793179.

The spelling of 765434080 in words is "seven hundred sixty-five million, four hundred thirty-four thousand, eighty".