793907268 has 192 divisors, whose sum is σ = 2395201536. Its totient is φ = 198720000.

The previous prime is 793907263. The next prime is 793907273. The reversal of 793907268 is 862709397.

It is an interprime number because it is at equal distance from previous prime (793907263) and next prime (793907273).

It is a self number, because there is not a number n which added to its sum of digits gives 793907268.

It is not an unprimeable number, because it can be changed into a prime (793907263) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4386138 + ... + 4386318.

It is an arithmetic number, because the mean of its divisors is an integer number (12475008).

Almost surely, 2^793907268 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 793907268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197600768).

793907268 is an abundant number, since it is smaller than the sum of its proper divisors (1601294268).

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

793907268 is a wasteful number, since it uses less digits than its factorization.

793907268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 793907268 is about 28176.3600913958. The cubic root of 793907268 is about 925.9550954967.

The spelling of 793907268 in words is "seven hundred ninety-three million, nine hundred seven thousand, two hundred sixty-eight".