97786800 has 180 divisors, whose sum is σ = 354401424. Its totient is φ = 24921600.

The previous prime is 97786789. The next prime is 97786807. The reversal of 97786800 is 868779.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (97786807) 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 35 ways as a sum of consecutive naturals, for example, 82210 + ... + 83390.

Almost surely, 2^97786800 is an apocalyptic number.

97786800 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 97786800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177200712).

97786800 is an abundant number, since it is smaller than the sum of its proper divisors (256614624).

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

97786800 is a wasteful number, since it uses less digits than its factorization.

97786800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 97786800 is about 9888.7208475111. The cubic root of 97786800 is about 460.7090514227.

The spelling of 97786800 in words is "ninety-seven million, seven hundred eighty-six thousand, eight hundred".