97781760 has 144 divisors (see below), whose sum is σ = 339213420. Its totient is φ = 26050560.

The previous prime is 97781759. The next prime is 97781777. The reversal of 97781760 is 6718779.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97772544 + 9216 = 9888^2 + 96^2 .

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

It is a super-2 number, since 2×97781760² = 19122545177395200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91630 + ... + 92690.

Almost surely, 2^97781760 is an apocalyptic number.

97781760 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 97781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169606710).

97781760 is an abundant number, since it is smaller than the sum of its proper divisors (241431660).

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

97781760 is a wasteful number, since it uses less digits than its factorization.

97781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1071 counting only the distinct ones).

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

The square root of 97781760 is about 9888.4660084363. The cubic root of 97781760 is about 460.7011361979.

The spelling of 97781760 in words is "ninety-seven million, seven hundred eighty-one thousand, seven hundred sixty".