• 792 can be written using four 4's:

792 has 24 divisors (see below), whose sum is σ = 2340. Its totient is φ = 240.

The previous prime is 787. The next prime is 797. The reversal of 792 is 297.

Added to its reverse (297) it gives a square (1089 = 33^{2}).

792 is a nontrivial binomial coefficient, being equal to C(12, 5).

It is an interprime number because it is at equal distance from previous prime (787) and next prime (797).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a partition number, being equal to the number of ways a set of 21 identical objects can be partitioned into subset.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 7 and base 11.

It is a zygodrome in base 2 and base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797) by changing a digit.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67 + ... + 77.

792 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 792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170).

792 is an abundant number, since it is smaller than the sum of its proper divisors (1548).

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

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

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

The sum of its prime factors is 23 (or 16 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 792 is about 28.1424945589. The cubic root of 792 is about 9.2521300184.

792 divided by its sum of digits (18) gives a palindrome (44).

Subtracting from 792 its product of digits (126), we obtain a palindrome (666).

Adding to 792 its reverse (297), we get a square (1089 = 33^{2}).

It can be divided in two parts, 79 and 2, that added together give a 4-th power (81 = 3^{4}).

The spelling of 792 in words is "seven hundred ninety-two", and thus it is an aban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.103 sec. • engine limits •