765244080 has 120 divisors (see below), whose sum is σ = 2576272608. Its totient is φ = 203563008.

The previous prime is 765244079. The next prime is 765244127. The reversal of 765244080 is 80442567.

765244080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361104 + ... + 363216.

Almost surely, 2^765244080 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 765244080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288136304).

765244080 is an abundant number, since it is smaller than the sum of its proper divisors (1811028528).

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

765244080 is a wasteful number, since it uses less digits than its factorization.

765244080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 765244080 is about 27663.0453854958. The cubic root of 765244080 is about 914.6746850335.

The spelling of 765244080 in words is "seven hundred sixty-five million, two hundred forty-four thousand, eighty".