791217900 has 216 divisors, whose sum is σ = 2725086000. Its totient is φ = 190425600.

The previous prime is 791217857. The next prime is 791217901. The reversal of 791217900 is 9712197.

791217900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (791217901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2266926 + ... + 2267274.

Almost surely, 2^791217900 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 791217900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362543000).

791217900 is an abundant number, since it is smaller than the sum of its proper divisors (1933868100).

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

791217900 is a wasteful number, since it uses less digits than its factorization.

791217900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 791217900 is about 28128.5957701411. The cubic root of 791217900 is about 924.9083522543.

The spelling of 791217900 in words is "seven hundred ninety-one million, two hundred seventeen thousand, nine hundred".