765275040 has 180 divisors, whose sum is σ = 2711943234. Its totient is φ = 204073344.

The previous prime is 765275039. The next prime is 765275047. The reversal of 765275040 is 40572567.

765275040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 688747536 + 76527504 = 26244^2 + 8748^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 765274986 and 765275004.

It is not an unprimeable number, because it can be changed into a prime (765275047) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 153055006 + ... + 153055010.

Almost surely, 2^765275040 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 765275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355971617).

765275040 is an abundant number, since it is smaller than the sum of its proper divisors (1946668194).

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

765275040 is an frugal number, since it uses more digits than its factorization.

765275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 765275040 is about 27663.6049711530. The cubic root of 765275040 is about 914.6870200724.

The spelling of 765275040 in words is "seven hundred sixty-five million, two hundred seventy-five thousand, forty".