768320640 has 160 divisors (see below), whose sum is σ = 2743996860. Its totient is φ = 204871680.

The previous prime is 768320639. The next prime is 768320677. The reversal of 768320640 is 46023867.

768320640 is a `hidden beast` number, since 7 + 6 + 8 + 3 + 2 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 760435776 + 7884864 = 27576^2 + 2808^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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 = 768320595 and 768320604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44430 + ... + 59250.

Almost surely, 2^768320640 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 768320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371998430).

768320640 is an abundant number, since it is smaller than the sum of its proper divisors (1975676220).

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

768320640 is a wasteful number, since it uses less digits than its factorization.

768320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14852 (or 14831 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 768320640 is about 27718.5973671108. The cubic root of 768320640 is about 915.8988211630.

The spelling of 768320640 in words is "seven hundred sixty-eight million, three hundred twenty thousand, six hundred forty".