9977280 has 112 divisors (see below), whose sum is σ = 33406080. Its totient is φ = 2515968.

The previous prime is 9977273. The next prime is 9977287. The reversal of 9977280 is 827799.

It is an interprime number because it is at equal distance from previous prime (9977273) and next prime (9977287).

It is a super-2 number, since 2×9977280² = 199092232396800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9977287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17967 + ... + 18513.

Almost surely, 2^9977280 is an apocalyptic number.

9977280 is the 1824-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16703040).

9977280 is an abundant number, since it is smaller than the sum of its proper divisors (23428800).

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

9977280 is a wasteful number, since it uses less digits than its factorization.

9977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 9977280 is about 3158.6832699718. The cubic root of 9977280 is about 215.2801827580.

The spelling of 9977280 in words is "nine million, nine hundred seventy-seven thousand, two hundred eighty".