793395072 has 96 divisors (see below), whose sum is σ = 2298700560. Its totient is φ = 262656000.

The previous prime is 793395067. The next prime is 793395131. The reversal of 793395072 is 270593397.

793395072 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 (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171672 + ... + 176232.

Almost surely, 2^793395072 is an apocalyptic number.

793395072 is a gapful number since it is divisible by the number (72) 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 793395072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149350280).

793395072 is an abundant number, since it is smaller than the sum of its proper divisors (1505305488).

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

793395072 is a wasteful number, since it uses less digits than its factorization.

793395072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The square root of 793395072 is about 28167.2695162311. The cubic root of 793395072 is about 925.7559233999.

The spelling of 793395072 in words is "seven hundred ninety-three million, three hundred ninety-five thousand, seventy-two".