791616 has 112 divisors (see below), whose sum is σ = 2600960. Its totient is φ = 207360.

The previous prime is 791599. The next prime is 791627. The reversal of 791616 is 616197.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

791616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25521 + ... + 25551.

2⁷⁹¹⁶¹⁶ is an apocalyptic number.

791616 is a gapful number since it is divisible by the number (76) 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 791616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300480).

791616 is an abundant number, since it is smaller than the sum of its proper divisors (1809344).

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

791616 is a wasteful number, since it uses less digits than its factorization.

791616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 62 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 791616 is about 889.7280483384. The cubic root of 791616 is about 92.5063448290.

The spelling of 791616 in words is "seven hundred ninety-one thousand, six hundred sixteen".