79123200 has 216 divisors, whose sum is σ = 282096528. Its totient is φ = 19415040.

The previous prime is 79123169. The next prime is 79123207. The reversal of 79123200 is 232197.

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

It is not an unprimeable number, because it can be changed into a prime (79123207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249442 + ... + 249758.

Almost surely, 2^79123200 is an apocalyptic number.

79123200 is the 4755-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141048264).

79123200 is an abundant number, since it is smaller than the sum of its proper divisors (202973328).

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

79123200 is a wasteful number, since it uses less digits than its factorization.

79123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 79123200 is about 8895.1222588563. The cubic root of 79123200 is about 429.3069781369.

Adding to 79123200 its reverse (232197), we get a palindrome (79355397).

The spelling of 79123200 in words is "seventy-nine million, one hundred twenty-three thousand, two hundred".