792220672 has 66 divisors (see below), whose sum is σ = 1682932862. Its totient is φ = 372670464.

The previous prime is 792220619. The next prime is 792220679. The reversal of 792220672 is 276022297.

It can be written as a sum of positive squares in 3 ways, for example, as 100320256 + 691900416 = 10016^2 + 26304^2 .

It is a super-2 number, since 2×792220672² = 1255227186288263168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792220679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294598 + ... + 297274.

Almost surely, 2^792220672 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 792220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841466431).

792220672 is an abundant number, since it is smaller than the sum of its proper divisors (890712190).

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

792220672 is a wasteful number, since it uses less digits than its factorization.

792220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 792220672 is about 28146.4149049217. The cubic root of 792220672 is about 925.2989234040.

The spelling of 792220672 in words is "seven hundred ninety-two million, two hundred twenty thousand, six hundred seventy-two".