8001122976 has 864 divisors, whose sum is σ = 31621943808. Its totient is φ = 1963906560.

The previous prime is 8001122951. The next prime is 8001123001. The reversal of 8001122976 is 6792211008.

It is an interprime number because it is at equal distance from previous prime (8001122951) and next prime (8001123001).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8001122976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96399031 + ... + 96399113.

It is an arithmetic number, because the mean of its divisors is an integer number (36599472).

Almost surely, 2^8001122976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8001122976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15810971904).

8001122976 is an abundant number, since it is smaller than the sum of its proper divisors (23620820832).

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

8001122976 is a wasteful number, since it uses less digits than its factorization.

8001122976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 8001122976 is about 89448.9965063890. The cubic root of 8001122976 is about 2000.0935769549.

The spelling of 8001122976 in words is "eight billion, one million, one hundred twenty-two thousand, nine hundred seventy-six".