782765368 has 64 divisors (see below), whose sum is σ = 1839697920. Its totient is φ = 303331200.

The previous prime is 782765339. The next prime is 782765369. The reversal of 782765368 is 863567287.

It is a super-2 number, since 2×782765368² = 1225443242680350848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782765369) 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 15 ways as a sum of consecutive naturals, for example, 114330 + ... + 120982.

It is an arithmetic number, because the mean of its divisors is an integer number (28745280).

Almost surely, 2^782765368 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 782765368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919848960).

782765368 is an abundant number, since it is smaller than the sum of its proper divisors (1056932552).

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

782765368 is a wasteful number, since it uses less digits than its factorization.

782765368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 6864 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 52.

The square root of 782765368 is about 27977.9443133337. The cubic root of 782765368 is about 921.6029741607.

The spelling of 782765368 in words is "seven hundred eighty-two million, seven hundred sixty-five thousand, three hundred sixty-eight".