795127200 has 576 divisors, whose sum is σ = 3239792640. Its totient is φ = 165335040.

The previous prime is 795127199. The next prime is 795127211. The reversal of 795127200 is 2721597.

795127200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15002374 + ... + 15002426.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^795127200 is an apocalyptic number.

795127200 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 795127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619896320).

795127200 is an abundant number, since it is smaller than the sum of its proper divisors (2444665440).

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

795127200 is a wasteful number, since it uses less digits than its factorization.

795127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 795127200 is about 28197.9999290730. Note that the first 4 decimals coincide. The cubic root of 795127200 is about 926.4291324536.

Adding to 795127200 its reverse (2721597), we get a palindrome (797848797).

The spelling of 795127200 in words is "seven hundred ninety-five million, one hundred twenty-seven thousand, two hundred".