1813790880 has 288 divisors, whose sum is σ = 7003983168. Its totient is φ = 439603200.

The previous prime is 1813790851. The next prime is 1813790887. The reversal of 1813790880 is 880973181.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1813790887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425560 + ... + 429800.

It is an arithmetic number, because the mean of its divisors is an integer number (24319386).

Almost surely, 2^1813790880 is an apocalyptic number.

1813790880 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 1813790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501991584).

1813790880 is an abundant number, since it is smaller than the sum of its proper divisors (5190192288).

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

1813790880 is a wasteful number, since it uses less digits than its factorization.

1813790880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1813790880 is about 42588.6238331318. The cubic root of 1813790880 is about 1219.5391253906.

The spelling of 1813790880 in words is "one billion, eight hundred thirteen million, seven hundred ninety thousand, eight hundred eighty".