97804800 has 240 divisors, whose sum is σ = 360259680. Its totient is φ = 25989120.

The previous prime is 97804781. The next prime is 97804813. The reversal of 97804800 is 840879.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345459 + ... + 345741.

It is an arithmetic number, because the mean of its divisors is an integer number (1501082).

Almost surely, 2^97804800 is an apocalyptic number.

97804800 is a gapful number since it is divisible by the number (90) 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 97804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180129840).

97804800 is an abundant number, since it is smaller than the sum of its proper divisors (262454880).

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

97804800 is a wasteful number, since it uses less digits than its factorization.

97804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 97804800 is about 9889.6309334575. The cubic root of 97804800 is about 460.7373178627.

The spelling of 97804800 in words is "ninety-seven million, eight hundred four thousand, eight hundred".