97776 has 60 divisors (see below), whose sum is σ = 315952. Its totient is φ = 27648.

The previous prime is 97771. The next prime is 97777. The reversal of 97776 is 67779.

97776 = 39² + 40² + ... + 70².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 97776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97771) by changing a digit.

97776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 960 + ... + 1056.

2⁹⁷⁷⁷⁶ 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 97776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157976).

97776 is an abundant number, since it is smaller than the sum of its proper divisors (218176).

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

97776 is a wasteful number, since it uses less digits than its factorization.

97776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 109 counting only the distinct ones).

The product of its digits is 18522, while the sum is 36.

The square root of 97776 is about 312.6915412991. The cubic root of 97776 is about 46.0692089894.

The spelling of 97776 in words is "ninety-seven thousand, seven hundred seventy-six".