1813180800 has 192 divisors, whose sum is σ = 6063451200. Its totient is φ = 476129280.

The previous prime is 1813180799. The next prime is 1813180801. The reversal of 1813180800 is 80813181.

It is an interprime number because it is at equal distance from previous prime (1813180799) and next prime (1813180801).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1813180800² = 6575249226977280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813180801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641791 + ... + 644609.

It is an arithmetic number, because the mean of its divisors is an integer number (31580475).

Almost surely, 2^1813180800 is an apocalyptic number.

1813180800 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 1813180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031725600).

1813180800 is an abundant number, since it is smaller than the sum of its proper divisors (4250270400).

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

1813180800 is a wasteful number, since it uses less digits than its factorization.

1813180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 1813180800 is about 42581.4607546524. The cubic root of 1813180800 is about 1219.4023768324.

Adding to 1813180800 its reverse (80813181), we get a palindrome (1893993981).

The spelling of 1813180800 in words is "one billion, eight hundred thirteen million, one hundred eighty thousand, eight hundred".