792288 has 96 divisors (see below), whose sum is σ = 2661120. Its totient is φ = 224640.

The previous prime is 792283. The next prime is 792293. The reversal of 792288 is 882297.

It is an interprime number because it is at equal distance from previous prime (792283) and next prime (792293).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 7 + 9³ + 2¹⁰ + 2¹⁹ + 8⁴ + 8⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792283) by changing a digit.

792288 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 15 ways as a sum of consecutive naturals, for example, 5983 + ... + 6113.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2⁷⁹²²⁸⁸ 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 792288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330560).

792288 is an abundant number, since it is smaller than the sum of its proper divisors (1868832).

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

792288 is a wasteful number, since it uses less digits than its factorization.

792288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 792288 is about 890.1056117113. The cubic root of 792288 is about 92.5325135276.

Subtracting 792288 from its reverse (882297), we obtain a palindrome (90009).

The spelling of 792288 in words is "seven hundred ninety-two thousand, two hundred eighty-eight".