578688768 has 216 divisors, whose sum is σ = 1945708128. Its totient is φ = 161980416.

The previous prime is 578688727. The next prime is 578688841. The reversal of 578688768 is 867886875.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854446 + ... + 855122.

It is an arithmetic number, because the mean of its divisors is an integer number (9007908).

Almost surely, 2^578688768 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 578688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972854064).

578688768 is an abundant number, since it is smaller than the sum of its proper divisors (1367019360).

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

578688768 is a wasteful number, since it uses less digits than its factorization.

578688768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 742 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The square root of 578688768 is about 24055.9507814595. The cubic root of 578688768 is about 833.3261641339.

The spelling of 578688768 in words is "five hundred seventy-eight million, six hundred eighty-eight thousand, seven hundred sixty-eight".