768318720 has 144 divisors (see below), whose sum is σ = 2642744832. Its totient is φ = 189112320.

The previous prime is 768318697. The next prime is 768318739. The reversal of 768318720 is 27813867.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42225 + ... + 57615.

Almost surely, 2^768318720 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 768318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321372416).

768318720 is an abundant number, since it is smaller than the sum of its proper divisors (1874426112).

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

768318720 is a wasteful number, since it uses less digits than its factorization.

768318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15428 (or 15414 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 768318720 is about 27718.5627333020. The cubic root of 768318720 is about 915.8980582319.

The spelling of 768318720 in words is "seven hundred sixty-eight million, three hundred eighteen thousand, seven hundred twenty".