791312 has 30 divisors (see below), whose sum is σ = 1629918. Its totient is φ = 372096.

The previous prime is 791311. The next prime is 791317. The reversal of 791312 is 213197.

It can be written as a sum of positive squares in only one way, i.e., 698896 + 92416 = 836^2 + 304^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5708 + ... + 5844.

2⁷⁹¹³¹² 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 791312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814959).

791312 is an abundant number, since it is smaller than the sum of its proper divisors (838606).

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

791312 is a wasteful number, since it uses less digits than its factorization.

791312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 158 counting only the distinct ones).

The product of its digits is 378, while the sum is 23.

The square root of 791312 is about 889.5571932147. The cubic root of 791312 is about 92.4945017428.

It can be divided in two parts, 7 and 91312, that added together give a palindrome (91319).

The spelling of 791312 in words is "seven hundred ninety-one thousand, three hundred twelve".