791112 has 64 divisors (see below), whose sum is σ = 2401920. Its totient is φ = 211968.

The previous prime is 791111. The next prime is 791117. The reversal of 791112 is 211197.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (791111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2718 + ... + 2994.

It is an arithmetic number, because the mean of its divisors is an integer number (37530).

2⁷⁹¹¹¹² 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 791112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200960).

791112 is an abundant number, since it is smaller than the sum of its proper divisors (1610808).

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

791112 is a wasteful number, since it uses less digits than its factorization.

791112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its digits is 126, while the sum is 21.

The square root of 791112 is about 889.4447706294. Note that the first 3 decimals coincide. The cubic root of 791112 is about 92.4867085845.

It can be divided in two parts, 791 and 112, that added together give a triangular number (903 = T₄₂).

The spelling of 791112 in words is "seven hundred ninety-one thousand, one hundred twelve".