881168800 has 72 divisors (see below), whose sum is σ = 2220607872. Its totient is φ = 341088000.

The previous prime is 881168789. The next prime is 881168809. The reversal of 881168800 is 8861188.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (881168809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7035 + ... + 42565.

It is an arithmetic number, because the mean of its divisors is an integer number (30841776).

Almost surely, 2^881168800 is an apocalyptic number.

881168800 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 881168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110303936).

881168800 is an abundant number, since it is smaller than the sum of its proper divisors (1339439072).

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

881168800 is a wasteful number, since it uses less digits than its factorization.

881168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35582 (or 35569 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 40.

The square root of 881168800 is about 29684.4875313690. The cubic root of 881168800 is about 958.7080421694.

The spelling of 881168800 in words is "eight hundred eighty-one million, one hundred sixty-eight thousand, eight hundred".