320808768 has 224 divisors, whose sum is σ = 1082649600. Its totient is φ = 81616896.

The previous prime is 320808727. The next prime is 320808769. The reversal of 320808768 is 867808023.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320808769) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 433743 + ... + 434481.

Almost surely, 2^320808768 is an apocalyptic number.

320808768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320808768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541324800).

320808768 is an abundant number, since it is smaller than the sum of its proper divisors (761840832).

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

320808768 is a wasteful number, since it uses less digits than its factorization.

320808768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 320808768 is about 17911.1353074003. The cubic root of 320808768 is about 684.5661329833.

The spelling of 320808768 in words is "three hundred twenty million, eight hundred eight thousand, seven hundred sixty-eight".