79981200 has 180 divisors, whose sum is σ = 299082420. Its totient is φ = 19676160.

The previous prime is 79981199. The next prime is 79981219. The reversal of 79981200 is 218997.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18766224 + 61214976 = 4332^2 + 7824^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45946 + ... + 47654.

It is an arithmetic number, because the mean of its divisors is an integer number (1661569).

Almost surely, 2^79981200 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 79981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149541210).

79981200 is an abundant number, since it is smaller than the sum of its proper divisors (219101220).

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

79981200 is a wasteful number, since it uses less digits than its factorization.

79981200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 79981200 is about 8943.2208962991. The cubic root of 79981200 is about 430.8531825519.

The spelling of 79981200 in words is "seventy-nine million, nine hundred eighty-one thousand, two hundred".