97771680 has 144 divisors (see below), whose sum is σ = 341621280. Its totient is φ = 25449984.

The previous prime is 97771679. The next prime is 97771711. The reversal of 97771680 is 8617779.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61131 + ... + 62709.

It is an arithmetic number, because the mean of its divisors is an integer number (2372370).

Almost surely, 2^97771680 is an apocalyptic number.

97771680 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 97771680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170810640).

97771680 is an abundant number, since it is smaller than the sum of its proper divisors (243849600).

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

97771680 is a wasteful number, since it uses less digits than its factorization.

97771680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 97771680 is about 9887.9563105831. The cubic root of 97771680 is about 460.6853049323.

The spelling of 97771680 in words is "ninety-seven million, seven hundred seventy-one thousand, six hundred eighty".