765200352 has 96 divisors (see below), whose sum is σ = 2311110144. Its totient is φ = 217152000.

The previous prime is 765200347. The next prime is 765200353. The reversal of 765200352 is 253002567.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765200353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97702 + ... + 105242.

It is an arithmetic number, because the mean of its divisors is an integer number (24074064).

Almost surely, 2^765200352 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 765200352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155555072).

765200352 is an abundant number, since it is smaller than the sum of its proper divisors (1545909792).

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

765200352 is a wasteful number, since it uses less digits than its factorization.

765200352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7712 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 765200352 is about 27662.2550056932. The cubic root of 765200352 is about 914.6572624196.

The spelling of 765200352 in words is "seven hundred sixty-five million, two hundred thousand, three hundred fifty-two".