765304020 has 144 divisors (see below), whose sum is σ = 2511879552. Its totient is φ = 187488000.

The previous prime is 765304013. The next prime is 765304027. The reversal of 765304020 is 20403567.

It is a happy number.

765304020 is a `hidden beast` number, since 7 + 653 + 0 + 4 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (765304013) and next prime (765304027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765304027) 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 47 ways as a sum of consecutive naturals, for example, 586689 + ... + 587991.

It is an arithmetic number, because the mean of its divisors is an integer number (17443608).

Almost surely, 2^765304020 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 765304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255939776).

765304020 is an abundant number, since it is smaller than the sum of its proper divisors (1746575532).

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

765304020 is a wasteful number, since it uses less digits than its factorization.

765304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 765304020 is about 27664.1287590988. The cubic root of 765304020 is about 914.6985659410.

Adding to 765304020 its reverse (20403567), we get a palindrome (785707587).

The spelling of 765304020 in words is "seven hundred sixty-five million, three hundred four thousand, twenty".