79200 has 108 divisors (see below), whose sum is σ = 304668. Its totient is φ = 19200.

The previous prime is 79193. The next prime is 79201. The reversal of 79200 is 297.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79201) by changing a digit.

79200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7195 + ... + 7205.

It is an arithmetic number, because the mean of its divisors is an integer number (2821).

2⁷⁹²⁰⁰ 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 79200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334).

79200 is an abundant number, since it is smaller than the sum of its proper divisors (225468).

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

79200 is a wasteful number, since it uses less digits than its factorization.

79200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 79200 is about 281.4249455894. The cubic root of 79200 is about 42.9445833804.

Adding to 79200 its reverse (297), we get a palindrome (79497).

The spelling of 79200 in words is "seventy-nine thousand, two hundred".