8000023680 has 384 divisors, whose sum is σ = 31116234240. Its totient is φ = 1876377600.

The previous prime is 8000023657. The next prime is 8000023721. The reversal of 8000023680 is 863200008.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1962124 + ... + 1966196.

It is an arithmetic number, because the mean of its divisors is an integer number (81031860).

Almost surely, 2^8000023680 is an apocalyptic number.

8000023680 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 8000023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15558117120).

8000023680 is an abundant number, since it is smaller than the sum of its proper divisors (23116210560).

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

8000023680 is a wasteful number, since it uses less digits than its factorization.

8000023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8000023680 is about 89442.8514751179. The cubic root of 8000023680 is about 2000.0019733314.

Adding to 8000023680 its reverse (863200008), we get a palindrome (8863223688).

The spelling of 8000023680 in words is "eight billion, twenty-three thousand, six hundred eighty".