97808770080 has 480 divisors, whose sum is σ = 403685783424. Its totient is φ = 21835505664.

The previous prime is 97808770069. The next prime is 97808770093. The reversal of 97808770080 is 8007780879.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 97808769999 and 97808770026.

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 79 ways as a sum of consecutive naturals, for example, 3888424 + ... + 3913496.

Almost surely, 2^97808770080 is an apocalyptic number.

97808770080 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 97808770080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201842891712).

97808770080 is an abundant number, since it is smaller than the sum of its proper divisors (305877013344).

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

97808770080 is a wasteful number, since it uses less digits than its factorization.

97808770080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25150 (or 25133 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 97808770080 in words is "ninety-seven billion, eight hundred eight million, seven hundred seventy thousand, eighty".