768702240 has 72 divisors (see below), whose sum is σ = 2623201308. Its totient is φ = 204986880.

The previous prime is 768702239. The next prime is 768702281. The reversal of 768702240 is 42207867.

768702240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 759774096 + 8928144 = 27564^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 768702195 and 768702204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265471 + ... + 268350.

Almost surely, 2^768702240 is an apocalyptic number.

It is an amenable number.

768702240 is an abundant number, since it is smaller than the sum of its proper divisors (1854499068).

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

768702240 is a wasteful number, since it uses less digits than its factorization.

768702240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533842 (or 533831 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 768702240 is about 27725.4799778110. The cubic root of 768702240 is about 916.0504285020.

The spelling of 768702240 in words is "seven hundred sixty-eight million, seven hundred two thousand, two hundred forty".