393120768 has 88 divisors (see below), whose sum is σ = 1062769648. Its totient is φ = 129171456.

The previous prime is 393120709. The next prime is 393120787. The reversal of 393120768 is 867021393.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223380 + ... + 225132.

Almost surely, 2^393120768 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 393120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531384824).

393120768 is an abundant number, since it is smaller than the sum of its proper divisors (669648880).

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

393120768 is a wasteful number, since it uses less digits than its factorization.

393120768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 393120768 is about 19827.2733375016. The cubic root of 393120768 is about 732.5579668897.

The spelling of 393120768 in words is "three hundred ninety-three million, one hundred twenty thousand, seven hundred sixty-eight".