97822972800 has 864 divisors, whose sum is σ = 410594680080. Its totient is φ = 22109552640.

The previous prime is 97822972769. The next prime is 97822972801. The reversal of 97822972800 is 827922879.

97822972800 is a `hidden beast` number, since 9 + 78 + 2 + 297 + 280 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97822972801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 145353264 + ... + 145353936.

Almost surely, 2^97822972800 is an apocalyptic number.

97822972800 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 97822972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205297340040).

97822972800 is an abundant number, since it is smaller than the sum of its proper divisors (312771707280).

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

97822972800 is a wasteful number, since it uses less digits than its factorization.

97822972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 97822972800 in words is "ninety-seven billion, eight hundred twenty-two million, nine hundred seventy-two thousand, eight hundred".