1801784880 has 180 divisors, whose sum is σ = 7039049472. Its totient is φ = 411828480.

The previous prime is 1801784869. The next prime is 1801784891. The reversal of 1801784880 is 884871081.

It is an interprime number because it is at equal distance from previous prime (1801784869) and next prime (1801784891).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×1801784880³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9745 + ... + 60815.

Almost surely, 2^1801784880 is an apocalyptic number.

1801784880 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 1801784880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519524736).

1801784880 is an abundant number, since it is smaller than the sum of its proper divisors (5237264592).

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

1801784880 is a wasteful number, since it uses less digits than its factorization.

1801784880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51104 (or 51088 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The square root of 1801784880 is about 42447.4366717238. The cubic root of 1801784880 is about 1216.8423403889.

The spelling of 1801784880 in words is "one billion, eight hundred one million, seven hundred eighty-four thousand, eight hundred eighty".