768491040 has 48 divisors (see below), whose sum is σ = 2420748288. Its totient is φ = 204930816.

The previous prime is 768491033. The next prime is 768491051. The reversal of 768491040 is 40194867.

It is a happy number.

768491040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 768491040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 800032 + ... + 800991.

It is an arithmetic number, because the mean of its divisors is an integer number (50432256).

Almost surely, 2^768491040 is an apocalyptic number.

It is an amenable number.

768491040 is an abundant number, since it is smaller than the sum of its proper divisors (1652257248).

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

768491040 is a wasteful number, since it uses less digits than its factorization.

768491040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601041 (or 1601033 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 768491040 is about 27721.6709453092. The cubic root of 768491040 is about 915.9665262394.

The spelling of 768491040 in words is "seven hundred sixty-eight million, four hundred ninety-one thousand, forty".