765416448 has 198 divisors, whose sum is σ = 2325109514. Its totient is φ = 242491392.

The previous prime is 765416441. The next prime is 765416467. The reversal of 765416448 is 844614567.

765416448 is a `hidden beast` number, since 7 + 6 + 541 + 64 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 589906944 + 175509504 = 24288^2 + 13248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765416441) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 4875186 + ... + 4875342.

Almost surely, 2^765416448 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 765416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162554757).

765416448 is an abundant number, since it is smaller than the sum of its proper divisors (1559693066).

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

765416448 is a wasteful number, since it uses less digits than its factorization.

765416448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 185 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 765416448 is about 27666.1607022008. The cubic root of 765416448 is about 914.7433554156.

The spelling of 765416448 in words is "seven hundred sixty-five million, four hundred sixteen thousand, four hundred forty-eight".