197776000 has 128 divisors (see below), whose sum is σ = 504092160. Its totient is φ = 77132800.

The previous prime is 197775973. The next prime is 197776009. The reversal of 197776000 is 677791.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (197776009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751869 + ... + 752131.

It is an arithmetic number, because the mean of its divisors is an integer number (3938220).

Almost surely, 2^197776000 is an apocalyptic number.

197776000 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 197776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252046080).

197776000 is an abundant number, since it is smaller than the sum of its proper divisors (306316160).

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

197776000 is an equidigital number, since it uses as much as digits as its factorization.

197776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 37.

The square root of 197776000 is about 14063.2855336155. The cubic root of 197776000 is about 582.6277909807.

It can be divided in two parts, 1977 and 76000, that added together give a palindrome (77977).

The spelling of 197776000 in words is "one hundred ninety-seven million, seven hundred seventy-six thousand".