792648 has 48 divisors (see below), whose sum is σ = 2187900. Its totient is φ = 259200.

The previous prime is 792647. The next prime is 792667. The reversal of 792648 is 846297.

792648 is a `hidden beast` number, since 7 + 9 + 2 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 675684 + 116964 = 822^2 + 342^2 .

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

It is not an unprimeable number, because it can be changed into a prime (792641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7218 + ... + 7326.

2⁷⁹²⁶⁴⁸ 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 792648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093950).

792648 is an abundant number, since it is smaller than the sum of its proper divisors (1395252).

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

792648 is a wasteful number, since it uses less digits than its factorization.

792648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 792648 is about 890.3078119392. The cubic root of 792648 is about 92.5465263869.

The spelling of 792648 in words is "seven hundred ninety-two thousand, six hundred forty-eight".