97808000 has 64 divisors (see below), whose sum is σ = 243214920. Its totient is φ = 39116800.

The previous prime is 97807993. The next prime is 97808003. The reversal of 97808000 is 80879.

It can be written as a sum of positive squares in 4 ways, for example, as 31091776 + 66716224 = 5576^2 + 8168^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (97808003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12944 + ... + 19056.

Almost surely, 2^97808000 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 97808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121607460).

97808000 is an abundant number, since it is smaller than the sum of its proper divisors (145406920).

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

97808000 is an equidigital number, since it uses as much as digits as its factorization.

97808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6142 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 97808000 is about 9889.7927177469. The cubic root of 97808000 is about 460.7423426445.

Adding to 97808000 its reverse (80879), we get a palindrome (97888879).

The spelling of 97808000 in words is "ninety-seven million, eight hundred eight thousand".