792105649500 has 192 divisors, whose sum is σ = 2517513643008. Its totient is φ = 191933280000.

The previous prime is 792105649499. The next prime is 792105649501. The reversal of 792105649500 is 5946501297.

It is an interprime number because it is at equal distance from previous prime (792105649499) and next prime (792105649501).

It is a self number, because there is not a number n which added to its sum of digits gives 792105649500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792105649501) 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 63 ways as a sum of consecutive naturals, for example, 38121114 + ... + 38141886.

It is an arithmetic number, because the mean of its divisors is an integer number (13112050224).

Almost surely, 2^792105649500 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 792105649500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258756821504).

792105649500 is an abundant number, since it is smaller than the sum of its proper divisors (1725407993508).

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

792105649500 is a wasteful number, since it uses less digits than its factorization.

792105649500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23117 (or 23105 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 792105649500 in words is "seven hundred ninety-two billion, one hundred five million, six hundred forty-nine thousand, five hundred".