8577800960 has 144 divisors (see below), whose sum is σ = 21578508000. Its totient is φ = 3262414848.

The previous prime is 8577800923. The next prime is 8577800981. The reversal of 8577800960 is 690087758.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8577800899 and 8577800908.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2485316 + ... + 2488764.

It is an arithmetic number, because the mean of its divisors is an integer number (149850750).

Almost surely, 2^8577800960 is an apocalyptic number.

8577800960 is a gapful number since it is divisible by the number (80) 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 8577800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10789254000).

8577800960 is an abundant number, since it is smaller than the sum of its proper divisors (13000707040).

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

8577800960 is a wasteful number, since it uses less digits than its factorization.

8577800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 50.

The square root of 8577800960 is about 92616.4184148793. The cubic root of 8577800960 is about 2047.0352511747.

The spelling of 8577800960 in words is "eight billion, five hundred seventy-seven million, eight hundred thousand, nine hundred sixty".