768683520 has 400 divisors, whose sum is σ = 3012383088. Its totient is φ = 185794560.

The previous prime is 768683519. The next prime is 768683527. The reversal of 768683520 is 25386867.

768683520 is a `hidden beast` number, since 7 + 68 + 68 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768683527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2280792 + ... + 2281128.

Almost surely, 2^768683520 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 768683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506191544).

768683520 is an abundant number, since it is smaller than the sum of its proper divisors (2243699568).

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

768683520 is a wasteful number, since it uses less digits than its factorization.

768683520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 768683520 is about 27725.1423801574. The cubic root of 768683520 is about 916.0429923313.

The spelling of 768683520 in words is "seven hundred sixty-eight million, six hundred eighty-three thousand, five hundred twenty".