792820200960 has 480 divisors, whose sum is σ = 2893703237568. Its totient is φ = 200210841600.

The previous prime is 792820200959. The next prime is 792820200961. The reversal of 792820200960 is 69002028297.

It is an interprime number because it is at equal distance from previous prime (792820200959) and next prime (792820200961).

It is a tau number, because it is divible by the number of its divisors (480).

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 (792820200961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53514514 + ... + 53529326.

Almost surely, 2^792820200960 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 792820200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446851618784).

792820200960 is an abundant number, since it is smaller than the sum of its proper divisors (2100883036608).

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

792820200960 is a wasteful number, since it uses less digits than its factorization.

792820200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14966 (or 14947 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 792820200960 in words is "seven hundred ninety-two billion, eight hundred twenty million, two hundred thousand, nine hundred sixty".