765437952 has 192 divisors, whose sum is σ = 2201472000. Its totient is φ = 235782144.

The previous prime is 765437947. The next prime is 765438001. The reversal of 765437952 is 259734567.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9222103 + ... + 9222185.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2^765437952 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 765437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736000).

765437952 is an abundant number, since it is smaller than the sum of its proper divisors (1436034048).

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

765437952 is a wasteful number, since it uses less digits than its factorization.

765437952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 48.

The square root of 765437952 is about 27666.5493330845. The cubic root of 765437952 is about 914.7519217575.

The spelling of 765437952 in words is "seven hundred sixty-five million, four hundred thirty-seven thousand, nine hundred fifty-two".