79697200 has 120 divisors (see below), whose sum is σ = 213111360. Its totient is φ = 28396800.

The previous prime is 79697197. The next prime is 79697209. The reversal of 79697200 is 279697.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (79697209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259447 + ... + 259753.

It is an arithmetic number, because the mean of its divisors is an integer number (1775928).

Almost surely, 2^79697200 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 79697200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

79697200 is an abundant number, since it is smaller than the sum of its proper divisors (133414160).

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

79697200 is a wasteful number, since it uses less digits than its factorization.

79697200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 79697200 is about 8927.3288278185. The cubic root of 79697200 is about 430.3426149866.

It can be divided in two parts, 79697 and 200, that added together give a palindrome (79897).

The spelling of 79697200 in words is "seventy-nine million, six hundred ninety-seven thousand, two hundred".