1009180800 has 288 divisors, whose sum is σ = 3661722480. Its totient is φ = 264591360.

The previous prime is 1009180769. The next prime is 1009180807. The reversal of 1009180800 is 80819001.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1009180807) 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 35 ways as a sum of consecutive naturals, for example, 1929339 + ... + 1929861.

Almost surely, 2^1009180800 is an apocalyptic number.

1009180800 is a gapful number since it is divisible by the number (10) 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 1009180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830861240).

1009180800 is an abundant number, since it is smaller than the sum of its proper divisors (2652541680).

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

1009180800 is a wasteful number, since it uses less digits than its factorization.

1009180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1009180800 is about 31767.6061421065. The cubic root of 1009180800 is about 1003.0509489110.

Adding to 1009180800 its reverse (80819001), we get a palindrome (1089999801).

It can be divided in two parts, 100 and 9180800, that added together give a square (9180900 = 3030²).

The spelling of 1009180800 in words is "one billion, nine million, one hundred eighty thousand, eight hundred".