97798000 has 80 divisors (see below), whose sum is σ = 239207904. Its totient is φ = 38668800.

The previous prime is 97797977. The next prime is 97798003. The reversal of 97798000 is 89779.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97798003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 213772 + ... + 214228.

Almost surely, 2^97798000 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 97798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119603952).

97798000 is an abundant number, since it is smaller than the sum of its proper divisors (141409904).

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

97798000 is a wasteful number, since it uses less digits than its factorization.

97798000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 40.

The square root of 97798000 is about 9889.2871330546. The cubic root of 97798000 is about 460.7266398374.

The spelling of 97798000 in words is "ninety-seven million, seven hundred ninety-eight thousand".