792026249040 has 1280 divisors, whose sum is σ = 3148598476800. Its totient is φ = 183884359680.

The previous prime is 792026248991. The next prime is 792026249041. The reversal of 792026249040 is 40942620297.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792026249041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3313917241 + ... + 3313917479.

It is an arithmetic number, because the mean of its divisors is an integer number (2459842560).

Almost surely, 2^792026249040 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 792026249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574299238400).

792026249040 is an abundant number, since it is smaller than the sum of its proper divisors (2356572227760).

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

792026249040 is a wasteful number, since it uses less digits than its factorization.

792026249040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 792026249040 in words is "seven hundred ninety-two billion, twenty-six million, two hundred forty-nine thousand, forty".