8011180800 has 864 divisors, whose sum is σ = 34672780800. Its totient is φ = 1771683840.

The previous prime is 8011180799. The next prime is 8011180811. The reversal of 8011180800 is 80811108.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44755111 + ... + 44755289.

Almost surely, 2^8011180800 is an apocalyptic number.

8011180800 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 8011180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336390400).

8011180800 is an abundant number, since it is smaller than the sum of its proper divisors (26661600000).

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

8011180800 is a wasteful number, since it uses less digits than its factorization.

8011180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 8011180800 is about 89505.1998489473. The cubic root of 8011180800 is about 2000.9312996065.

Adding to 8011180800 its reverse (80811108), we get a palindrome (8091991908).

The spelling of 8011180800 in words is "eight billion, eleven million, one hundred eighty thousand, eight hundred".