793226016 has 288 divisors, whose sum is σ = 2615348736. Its totient is φ = 225792000.

The previous prime is 793225997. The next prime is 793226039. The reversal of 793226016 is 610622397.

793226016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4026430 + ... + 4026626.

It is an arithmetic number, because the mean of its divisors is an integer number (9081072).

Almost surely, 2^793226016 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 793226016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307674368).

793226016 is an abundant number, since it is smaller than the sum of its proper divisors (1822122720).

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

793226016 is a wasteful number, since it uses less digits than its factorization.

793226016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 793226016 is about 28164.2684265010. The cubic root of 793226016 is about 925.6901656136.

The spelling of 793226016 in words is "seven hundred ninety-three million, two hundred twenty-six thousand, sixteen".