9873077760 has 960 divisors, whose sum is σ = 44720387712. Its totient is φ = 1953497088.

The previous prime is 9873077717. The next prime is 9873077801. The reversal of 9873077760 is 677703789.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 9873077697 and 9873077706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35642742 + ... + 35643018.

Almost surely, 2^9873077760 is an apocalyptic number.

9873077760 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 9873077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22360193856).

9873077760 is an abundant number, since it is smaller than the sum of its proper divisors (34847309952).

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

9873077760 is a wasteful number, since it uses less digits than its factorization.

9873077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The square root of 9873077760 is about 99363.3622619525. The cubic root of 9873077760 is about 2145.2809973048.

The spelling of 9873077760 in words is "nine billion, eight hundred seventy-three million, seventy-seven thousand, seven hundred sixty".