769287440 has 80 divisors (see below), whose sum is σ = 1878951168. Its totient is φ = 292351488.

The previous prime is 769287439. The next prime is 769287443. The reversal of 769287440 is 44782967.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (769287443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287549 + ... + 290211.

Almost surely, 2^769287440 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 769287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939475584).

769287440 is an abundant number, since it is smaller than the sum of its proper divisors (1109663728).

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

769287440 is a wasteful number, since it uses less digits than its factorization.

769287440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The square root of 769287440 is about 27736.0314392669. The cubic root of 769287440 is about 916.2828274319.

The spelling of 769287440 in words is "seven hundred sixty-nine million, two hundred eighty-seven thousand, four hundred forty".