792000100 has 36 divisors (see below), whose sum is σ = 1727320000. Its totient is φ = 315200160.

The previous prime is 792000089. The next prime is 792000103. The reversal of 792000100 is 1000297.

792000100 is a nontrivial binomial coefficient, being equal to C(39800, 2).

It is not an unprimeable number, because it can be changed into a prime (792000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 39799.

Almost surely, 2^792000100 is an apocalyptic number.

792000100 is the 39799-th triangular number and also the 19900-th hexagonal number.

792000100 is the 13267-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863660000).

792000100 is an abundant number, since it is smaller than the sum of its proper divisors (935319900).

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

792000100 is a wasteful number, since it uses less digits than its factorization.

792000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40012 (or 40005 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 792000100 is about 28142.4963356132. The cubic root of 792000100 is about 925.2130407765.

Adding to 792000100 its reverse (1000297), we get a palindrome (793000397).

It can be divided in two parts, 792000 and 100, that added together give a square (792100 = 890²).

The spelling of 792000100 in words is "seven hundred ninety-two million, one hundred", and thus it is an aban number.