800000088800 has 72 divisors (see below), whose sum is σ = 2130545714472. Its totient is φ = 290909120000.

The previous prime is 800000088791. The next prime is 800000088863. The reversal of 800000088800 is 8880000008.

It is a Harshad number since it is a multiple of its sum of digits (32).

800000088800 is a modest number, since divided by 88800 gives 800 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45445751 + ... + 45463350.

It is an arithmetic number, because the mean of its divisors is an integer number (29590912701).

Almost surely, 2^800000088800 is an apocalyptic number.

800000088800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800000088800 is an abundant number, since it is smaller than the sum of its proper divisors (1330545625672).

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

800000088800 is a wasteful number, since it uses less digits than its factorization.

800000088800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90909132 (or 90909119 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

Adding to 800000088800 its reverse (8880000008), we get a palindrome (808880088808).

The spelling of 800000088800 in words is "eight hundred billion, eighty-eight thousand, eight hundred".