97760 has 48 divisors (see below), whose sum is σ = 254016. Its totient is φ = 35328.

The previous prime is 97729. The next prime is 97771. The reversal of 97760 is 6779.

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

97760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2057 + ... + 2103.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁹⁷⁷⁶⁰ 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 97760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008).

97760 is an abundant number, since it is smaller than the sum of its proper divisors (156256).

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

97760 is a wasteful number, since it uses less digits than its factorization.

97760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 97760 is about 312.6659559338. The cubic root of 97760 is about 46.0666959406.

The spelling of 97760 in words is "ninety-seven thousand, seven hundred sixty".