792448 has 32 divisors (see below), whose sum is σ = 1627920. Its totient is φ = 384000.

The previous prime is 792443. The next prime is 792461. The reversal of 792448 is 844297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×792448³ = 1492909823335858176, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5173 + ... + 5323.

2⁷⁹²⁴⁴⁸ 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 792448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813960).

792448 is an abundant number, since it is smaller than the sum of its proper divisors (835472).

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

792448 is a wasteful number, since it uses less digits than its factorization.

792448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 792448 is about 890.1954841494. The cubic root of 792448 is about 92.5387419890.

The spelling of 792448 in words is "seven hundred ninety-two thousand, four hundred forty-eight".