1830812880 has 320 divisors, whose sum is σ = 6591578112. Its totient is φ = 416655360.

The previous prime is 1830812843. The next prime is 1830812881. The reversal of 1830812880 is 882180381.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830812881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2224149 + ... + 2224971.

Almost surely, 2^1830812880 is an apocalyptic number.

1830812880 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 1830812880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295789056).

1830812880 is an abundant number, since it is smaller than the sum of its proper divisors (4760765232).

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

1830812880 is a wasteful number, since it uses less digits than its factorization.

1830812880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 1830812880 is about 42787.9992521268. Note that the first 3 decimals coincide. The cubic root of 1830812880 is about 1223.3422819488.

The spelling of 1830812880 in words is "one billion, eight hundred thirty million, eight hundred twelve thousand, eight hundred eighty".