792880165440 has 1008 divisors, whose sum is σ = 3149979618240. Its totient is φ = 182659276800.

The previous prime is 792880165423. The next prime is 792880165463. The reversal of 792880165440 is 44561088297.

It is a happy number.

792880165440 is a `hidden beast` number, since 7 + 9 + 2 + 8 + 80 + 16 + 544 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 677096055 + ... + 677097225.

It is an arithmetic number, because the mean of its divisors is an integer number (3124979780).

Almost surely, 2^792880165440 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 792880165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574989809120).

792880165440 is an abundant number, since it is smaller than the sum of its proper divisors (2357099452800).

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

792880165440 is a wasteful number, since it uses less digits than its factorization.

792880165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 792880165440 in words is "seven hundred ninety-two billion, eight hundred eighty million, one hundred sixty-five thousand, four hundred forty".