8971776000 has 832 divisors, whose sum is σ = 36800524800. Its totient is φ = 2138112000.

The previous prime is 8971775983. The next prime is 8971776013. The reversal of 8971776000 is 6771798.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152063971 + ... + 152064029.

It is an arithmetic number, because the mean of its divisors is an integer number (44231400).

Almost surely, 2^8971776000 is an apocalyptic number.

8971776000 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 8971776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400262400).

8971776000 is an abundant number, since it is smaller than the sum of its proper divisors (27828748800).

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

8971776000 is a wasteful number, since it uses less digits than its factorization.

8971776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 80 counting only the distinct ones).

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

The square root of 8971776000 is about 94719.4594579171. The cubic root of 8971776000 is about 2077.9071651744.

The spelling of 8971776000 in words is "eight billion, nine hundred seventy-one million, seven hundred seventy-six thousand".