765330020 has 108 divisors (see below), whose sum is σ = 2024907444. Its totient is φ = 242161920.

The previous prime is 765329989. The next prime is 765330043. The reversal of 765330020 is 20033567.

It can be written as a sum of positive squares in 6 ways, for example, as 192876544 + 572453476 = 13888^2 + 23926^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 163310 + ... + 167930.

It is an arithmetic number, because the mean of its divisors is an integer number (18749143).

Almost surely, 2^765330020 is an apocalyptic number.

765330020 is a gapful number since it is divisible by the number (70) 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 765330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012453722).

765330020 is an abundant number, since it is smaller than the sum of its proper divisors (1259577424).

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

765330020 is a wasteful number, since it uses less digits than its factorization.

765330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 765330020 is about 27664.5986777325. The cubic root of 765330020 is about 914.7089243052.

Adding to 765330020 its reverse (20033567), we get a palindrome (785363587).

It can be divided in two parts, 7653 and 30020, that added together give a palindrome (37673).

The spelling of 765330020 in words is "seven hundred sixty-five million, three hundred thirty thousand, twenty".