8041800960 has 576 divisors, whose sum is σ = 30422568960. Its totient is φ = 2007244800.

The previous prime is 8041800941. The next prime is 8041800979. The reversal of 8041800960 is 690081408.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8041800941) and next prime (8041800979).

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 53256885 + ... + 53257035.

It is an arithmetic number, because the mean of its divisors is an integer number (52816960).

Almost surely, 2^8041800960 is an apocalyptic number.

8041800960 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 8041800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211284480).

8041800960 is an abundant number, since it is smaller than the sum of its proper divisors (22380768000).

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

8041800960 is a wasteful number, since it uses less digits than its factorization.

8041800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8041800960 is about 89676.0891207907. The cubic root of 8041800960 is about 2003.4773637998.

The spelling of 8041800960 in words is "eight billion, forty-one million, eight hundred thousand, nine hundred sixty".