795211200 has 630 divisors, whose sum is σ = 3440591544. Its totient is φ = 173859840.

The previous prime is 795211181. The next prime is 795211201. The reversal of 795211200 is 2112597.

It is a tau number, because it is divible by the number of its divisors (630).

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795211201) 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 89 ways as a sum of consecutive naturals, for example, 34574389 + ... + 34574411.

Almost surely, 2^795211200 is an apocalyptic number.

795211200 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 795211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720295772).

795211200 is an abundant number, since it is smaller than the sum of its proper divisors (2645380344).

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

795211200 is a wasteful number, since it uses less digits than its factorization.

795211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 795211200 is about 28199.4893570788. The cubic root of 795211200 is about 926.4617550356.

Adding to 795211200 its reverse (2112597), we get a palindrome (797323797).

The spelling of 795211200 in words is "seven hundred ninety-five million, two hundred eleven thousand, two hundred".