791221200 has 240 divisors, whose sum is σ = 3160321536. Its totient is φ = 164390400.

The previous prime is 791221187. The next prime is 791221201. The reversal of 791221200 is 2122197.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791221201) 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, 88119 + ... + 96681.

Almost surely, 2^791221200 is an apocalyptic number.

791221200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580160768).

791221200 is an abundant number, since it is smaller than the sum of its proper divisors (2369100336).

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

791221200 is a wasteful number, since it uses less digits than its factorization.

791221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8602 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 791221200 is about 28128.6544292471. The cubic root of 791221200 is about 924.9096381172.

Adding to 791221200 its reverse (2122197), we get a palindrome (793343397).

The spelling of 791221200 in words is "seven hundred ninety-one million, two hundred twenty-one thousand, two hundred".