197768800 has 72 divisors (see below), whose sum is σ = 485125200. Its totient is φ = 78727680.

The previous prime is 197768773. The next prime is 197768801. The reversal of 197768800 is 8867791.

197768800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×197768800² = 78224996506880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197768801) 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, 214741 + ... + 215659.

It is an arithmetic number, because the mean of its divisors is an integer number (6737850).

Almost surely, 2^197768800 is an apocalyptic number.

197768800 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 197768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242562600).

197768800 is an abundant number, since it is smaller than the sum of its proper divisors (287356400).

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

197768800 is a wasteful number, since it uses less digits than its factorization.

197768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The square root of 197768800 is about 14063.0295455851. The cubic root of 197768800 is about 582.6207207413.

The spelling of 197768800 in words is "one hundred ninety-seven million, seven hundred sixty-eight thousand, eight hundred".