765230400 has 252 divisors, whose sum is σ = 2967679104. Its totient is φ = 185472000.

The previous prime is 765230371. The next prime is 765230423. The reversal of 765230400 is 4032567.

It is a happy number.

765230400 is a `hidden beast` number, since 7 + 652 + 3 + 0 + 4 + 0 + 0 = 666.

765230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×765230400³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155985 + ... + 160815.

Almost surely, 2^765230400 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 765230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483839552).

765230400 is an abundant number, since it is smaller than the sum of its proper divisors (2202448704).

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

765230400 is a wasteful number, since it uses less digits than its factorization.

765230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4852 counting only the distinct ones).

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

The square root of 765230400 is about 27662.7981231111. The cubic root of 765230400 is about 914.6692345615.

Adding to 765230400 its reverse (4032567), we get a palindrome (769262967).

The spelling of 765230400 in words is "seven hundred sixty-five million, two hundred thirty thousand, four hundred".