765440000 has 260 divisors, whose sum is σ = 2149449456. Its totient is φ = 270336000.

The previous prime is 765439993. The next prime is 765440083. The reversal of 765440000 is 44567.

It is a tau number, because it is divible by the number of its divisors (260).

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

It is a nialpdrome in base 10.

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 19 ways as a sum of consecutive naturals, for example, 33279989 + ... + 33280011.

Almost surely, 2^765440000 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 765440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074724728).

765440000 is an abundant number, since it is smaller than the sum of its proper divisors (1384009456).

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

765440000 is an equidigital number, since it uses as much as digits as its factorization.

765440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 765440000 is about 27666.5863452649. The cubic root of 765440000 is about 914.7527375912.

Adding to 765440000 its reverse (44567), we get a palindrome (765484567).

The spelling of 765440000 in words is "seven hundred sixty-five million, four hundred forty thousand".