792066 has 24 divisors (see below), whose sum is σ = 1742832. Its totient is φ = 239800.

The previous prime is 792061. The next prime is 792067. The reversal of 792066 is 660297.

It is not an unprimeable number, because it can be changed into a prime (792061) by changing a digit.

792066 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 11 ways as a sum of consecutive naturals, for example, 181 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (72618).

2⁷⁹²⁰⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871416).

792066 is an abundant number, since it is smaller than the sum of its proper divisors (950766).

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

792066 is a wasteful number, since it uses less digits than its factorization.

792066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 792066 is about 889.9808986714. The cubic root of 792066 is about 92.5238701484.

Subtracting from 792066 its reverse (660297), we obtain a square (131769 = 363²).

It can be divided in two parts, 79 and 2066, that added together give a triangular number (2145 = T₆₅).

The spelling of 792066 in words is "seven hundred ninety-two thousand, sixty-six".