9977760 has 216 divisors, whose sum is σ = 37769004. Its totient is φ = 2396160.

The previous prime is 9977743. The next prime is 9977767. The reversal of 9977760 is 677799.

It can be written as a sum of positive squares in 6 ways, for example, as 17424 + 9960336 = 132^2 + 3156^2 .

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9977767) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 243340 + ... + 243380.

Almost surely, 2^9977760 is an apocalyptic number.

9977760 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 9977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18884502).

9977760 is an abundant number, since it is smaller than the sum of its proper divisors (27791244).

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

9977760 is a wasteful number, since it uses less digits than its factorization.

9977760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 9977760 is about 3158.7592500854. The cubic root of 9977760 is about 215.2836350293.

The spelling of 9977760 in words is "nine million, nine hundred seventy-seven thousand, seven hundred sixty".