769443040 has 48 divisors (see below), whose sum is σ = 1824339888. Its totient is φ = 306671616.

The previous prime is 769443007. The next prime is 769443047. The reversal of 769443040 is 40344967.

769443040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769443047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36784 + ... + 53776.

It is an arithmetic number, because the mean of its divisors is an integer number (38007081).

Almost surely, 2^769443040 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 769443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912169944).

769443040 is an abundant number, since it is smaller than the sum of its proper divisors (1054896848).

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

769443040 is a wasteful number, since it uses less digits than its factorization.

769443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17291 (or 17283 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 769443040 is about 27738.8363130107. The cubic root of 769443040 is about 916.3446006128.

The spelling of 769443040 in words is "seven hundred sixty-nine million, four hundred forty-three thousand, forty".