765985456 has 80 divisors (see below), whose sum is σ = 1671321600. Its totient is φ = 337941504.

The previous prime is 765985453. The next prime is 765985457. The reversal of 765985456 is 654589567.

It is a junction number, because it is equal to n+sod(n) for n = 765985397 and 765985406.

It is not an unprimeable number, because it can be changed into a prime (765985453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531585 + ... + 533023.

It is an arithmetic number, because the mean of its divisors is an integer number (20891520).

Almost surely, 2^765985456 is an apocalyptic number.

765985456 is a gapful number since it is divisible by the number (76) 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 765985456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835660800).

765985456 is an abundant number, since it is smaller than the sum of its proper divisors (905336144).

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

765985456 is a wasteful number, since it uses less digits than its factorization.

765985456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1580 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 55.

The square root of 765985456 is about 27676.4422569087. The cubic root of 765985456 is about 914.9699716424.

The spelling of 765985456 in words is "seven hundred sixty-five million, nine hundred eighty-five thousand, four hundred fifty-six".