97807288320 has 768 divisors, whose sum is σ = 402208934400. Its totient is φ = 22083010560.

The previous prime is 97807288259. The next prime is 97807288321. The reversal of 97807288320 is 2388270879.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (97807288321) 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 63 ways as a sum of consecutive naturals, for example, 187729660 + ... + 187730180.

It is an arithmetic number, because the mean of its divisors is an integer number (523709550).

Almost surely, 2^97807288320 is an apocalyptic number.

97807288320 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 97807288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201104467200).

97807288320 is an abundant number, since it is smaller than the sum of its proper divisors (304401646080).

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

97807288320 is a wasteful number, since it uses less digits than its factorization.

97807288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 97807288320 in words is "ninety-seven billion, eight hundred seven million, two hundred eighty-eight thousand, three hundred twenty".