793713312 has 144 divisors (see below), whose sum is σ = 2623682880. Its totient is φ = 222898176.

The previous prime is 793713293. The next prime is 793713337. The reversal of 793713312 is 213317397.

793713312 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 (144).

It is a super-3 number, since 3×793713312³ (a number of 28 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115608 + ... + 122280.

It is an arithmetic number, because the mean of its divisors is an integer number (18220020).

Almost surely, 2^793713312 is an apocalyptic number.

793713312 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 793713312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311841440).

793713312 is an abundant number, since it is smaller than the sum of its proper divisors (1829969568).

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

793713312 is a wasteful number, since it uses less digits than its factorization.

793713312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755 (or 6744 counting only the distinct ones).

The product of its digits is 23814, while the sum is 36.

The square root of 793713312 is about 28172.9180597254. The cubic root of 793713312 is about 925.8796840135.

The spelling of 793713312 in words is "seven hundred ninety-three million, seven hundred thirteen thousand, three hundred twelve".