768209280 has 64 divisors (see below), whose sum is σ = 2448673200. Its totient is φ = 204855296.

The previous prime is 768209263. The next prime is 768209291. The reversal of 768209280 is 82902867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 198135 + ... + 201974.

Almost surely, 2^768209280 is an apocalyptic number.

It is an amenable number.

768209280 is an abundant number, since it is smaller than the sum of its proper divisors (1680463920).

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

768209280 is a wasteful number, since it uses less digits than its factorization.

768209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400131 (or 400119 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 768209280 is about 27716.5885346664. The cubic root of 768209280 is about 915.8545690564.

The spelling of 768209280 in words is "seven hundred sixty-eight million, two hundred nine thousand, two hundred eighty".