768349440 has 108 divisors (see below), whose sum is σ = 2658448884. Its totient is φ = 204890112.

The previous prime is 768349423. The next prime is 768349487. The reversal of 768349440 is 44943867.

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 674337024 = 9696^2 + 25968^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21829 + ... + 44868.

Almost surely, 2^768349440 is an apocalyptic number.

It is an amenable number.

768349440 is an abundant number, since it is smaller than the sum of its proper divisors (1890099444).

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

768349440 is a wasteful number, since it uses less digits than its factorization.

768349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66724 (or 66707 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 768349440 is about 27719.1168690491. The cubic root of 768349440 is about 915.9102649775.

The spelling of 768349440 in words is "seven hundred sixty-eight million, three hundred forty-nine thousand, four hundred forty".