792112640 has 160 divisors (see below), whose sum is σ = 2163718656. Its totient is φ = 275292160.

The previous prime is 792112639. The next prime is 792112649. The reversal of 792112640 is 46211297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 792112597 and 792112606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792112649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647069 + ... + 648291.

Almost surely, 2^792112640 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 792112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081859328).

792112640 is an abundant number, since it is smaller than the sum of its proper divisors (1371606016).

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

792112640 is a wasteful number, since it uses less digits than its factorization.

792112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 792112640 is about 28144.4957318478. The cubic root of 792112640 is about 925.2568617070.

The spelling of 792112640 in words is "seven hundred ninety-two million, one hundred twelve thousand, six hundred forty".