197978880 has 288 divisors, whose sum is σ = 712293120. Its totient is φ = 46448640.

The previous prime is 197978861. The next prime is 197978909. The reversal of 197978880 is 88879791.

It is a self number, because there is not a number n which added to its sum of digits gives 197978880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1816266 + ... + 1816374.

It is an arithmetic number, because the mean of its divisors is an integer number (2473240).

Almost surely, 2^197978880 is an apocalyptic number.

197978880 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 197978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356146560).

197978880 is an abundant number, since it is smaller than the sum of its proper divisors (514314240).

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

197978880 is a wasteful number, since it uses less digits than its factorization.

197978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 57.

The square root of 197978880 is about 14070.4967929352. The cubic root of 197978880 is about 582.8269441156.

The spelling of 197978880 in words is "one hundred ninety-seven million, nine hundred seventy-eight thousand, eight hundred eighty".