97800393600 has 1152 divisors, whose sum is σ = 448638472800. Its totient is φ = 20623196160.

The previous prime is 97800393599. The next prime is 97800393619. The reversal of 97800393600 is 639300879.

It is a happy number.

97800393600 is a `hidden beast` number, since 9 + 7 + 8 + 0 + 0 + 39 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55035912 + ... + 55037688.

Almost surely, 2^97800393600 is an apocalyptic number.

97800393600 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 97800393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224319236400).

97800393600 is an abundant number, since it is smaller than the sum of its proper divisors (350838079200).

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

97800393600 is a wasteful number, since it uses less digits than its factorization.

97800393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 97800393600 in words is "ninety-seven billion, eight hundred million, three hundred ninety-three thousand, six hundred".