765253880 has 64 divisors (see below), whose sum is σ = 1820772000. Its totient is φ = 288658944.

The previous prime is 765253873. The next prime is 765253883. The reversal of 765253880 is 88352567.

It is a super-2 number, since 2×765253880² = 1171227001710108800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765253883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 171842 + ... + 176238.

Almost surely, 2^765253880 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 765253880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910386000).

765253880 is an abundant number, since it is smaller than the sum of its proper divisors (1055518120).

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

765253880 is a wasteful number, since it uses less digits than its factorization.

765253880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The square root of 765253880 is about 27663.2225165471. Note that the first 3 decimals coincide. The cubic root of 765253880 is about 914.6785895715.

The spelling of 765253880 in words is "seven hundred sixty-five million, two hundred fifty-three thousand, eight hundred eighty".