97800700800 has 768 divisors, whose sum is σ = 375536321280. Its totient is φ = 22108569600.

The previous prime is 97800700799. The next prime is 97800700843. The reversal of 97800700800 is 800700879.

It is a super-2 number, since 2×97800700800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 281846227 + ... + 281846573.

It is an arithmetic number, because the mean of its divisors is an integer number (488979585).

Almost surely, 2^97800700800 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 97800700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187768160640).

97800700800 is an abundant number, since it is smaller than the sum of its proper divisors (277735620480).

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

97800700800 is a wasteful number, since it uses less digits than its factorization.

97800700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 97800700800 in words is "ninety-seven billion, eight hundred million, seven hundred thousand, eight hundred".