97809760 has 48 divisors (see below), whose sum is σ = 232179696. Its totient is φ = 38937088.

The previous prime is 97809737. The next prime is 97809769. The reversal of 97809760 is 6790879.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 97809760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97809769) 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 7 ways as a sum of consecutive naturals, for example, 34974 + ... + 37666.

It is an arithmetic number, because the mean of its divisors is an integer number (4837077).

Almost surely, 2^97809760 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 97809760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116089848).

97809760 is an abundant number, since it is smaller than the sum of its proper divisors (134369936).

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

97809760 is a wasteful number, since it uses less digits than its factorization.

97809760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 97809760 is about 9889.8816979780. The cubic root of 97809760 is about 460.7451062278.

The spelling of 97809760 in words is "ninety-seven million, eight hundred nine thousand, seven hundred sixty".