1806122880 has 256 divisors, whose sum is σ = 6454886400. Its totient is φ = 477259776.

The previous prime is 1806122867. The next prime is 1806122893. The reversal of 1806122880 is 882216081.

1806122880 is a `hidden beast` number, since 18 + 0 + 612 + 28 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1806122867) and next prime (1806122893).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2194149 + ... + 2194971.

It is an arithmetic number, because the mean of its divisors is an integer number (25214400).

Almost surely, 2^1806122880 is an apocalyptic number.

1806122880 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 1806122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227443200).

1806122880 is an abundant number, since it is smaller than the sum of its proper divisors (4648763520).

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

1806122880 is a wasteful number, since it uses less digits than its factorization.

1806122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1806122880 is about 42498.5044442743. The cubic root of 1806122880 is about 1217.8181193630.

The spelling of 1806122880 in words is "one billion, eight hundred six million, one hundred twenty-two thousand, eight hundred eighty".