793075968 has 144 divisors (see below), whose sum is σ = 2362046400. Its totient is φ = 262471680.

The previous prime is 793075939. The next prime is 793076003. The reversal of 793075968 is 869570397.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1236928 + ... + 1237568.

It is an arithmetic number, because the mean of its divisors is an integer number (16403100).

Almost surely, 2^793075968 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 793075968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181023200).

793075968 is an abundant number, since it is smaller than the sum of its proper divisors (1568970432).

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

793075968 is a wasteful number, since it uses less digits than its factorization.

793075968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 793075968 is about 28161.6044997440. The cubic root of 793075968 is about 925.6317935506.

The spelling of 793075968 in words is "seven hundred ninety-three million, seventy-five thousand, nine hundred sixty-eight".