197280800 has 72 divisors (see below), whose sum is σ = 506998800. Its totient is φ = 74753280.

The previous prime is 197280793. The next prime is 197280803. The reversal of 197280800 is 8082791.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (197280803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8711 + ... + 21689.

It is an arithmetic number, because the mean of its divisors is an integer number (7041650).

Almost surely, 2^197280800 is an apocalyptic number.

197280800 is a gapful number since it is divisible by the number (10) 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 197280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253499400).

197280800 is an abundant number, since it is smaller than the sum of its proper divisors (309718000).

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

197280800 is a wasteful number, since it uses less digits than its factorization.

197280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13018 (or 13005 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 197280800 is about 14045.6683714233. The cubic root of 197280800 is about 582.1411151146.

The spelling of 197280800 in words is "one hundred ninety-seven million, two hundred eighty thousand, eight hundred".