791936 has 32 divisors (see below), whose sum is σ = 1652400. Its totient is φ = 377344.

The previous prime is 791933. The next prime is 791951. The reversal of 791936 is 639197.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 791896 and 791905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2810 + ... + 3078.

791936 is a Friedman number, since it can be written as 6^7+(9*9-1)^3, using all its digits and the basic arithmetic operations.

2⁷⁹¹⁹³⁶ 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 791936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826200).

791936 is an abundant number, since it is smaller than the sum of its proper divisors (860464).

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

791936 is a wasteful number, since it uses less digits than its factorization.

791936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its digits is 10206, while the sum is 35.

The square root of 791936 is about 889.9078603990. The cubic root of 791936 is about 92.5188079603.

The spelling of 791936 in words is "seven hundred ninety-one thousand, nine hundred thirty-six".