1801075680 has 144 divisors (see below), whose sum is σ = 6262401600. Its totient is φ = 471204864.

The previous prime is 1801075667. The next prime is 1801075687. The reversal of 1801075680 is 865701081.

1801075680 is a `hidden beast` number, since 1 + 80 + 10 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801075687) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64521 + ... + 88119.

It is an arithmetic number, because the mean of its divisors is an integer number (43488900).

Almost surely, 2^1801075680 is an apocalyptic number.

1801075680 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 1801075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131200800).

1801075680 is an abundant number, since it is smaller than the sum of its proper divisors (4461325920).

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

1801075680 is a wasteful number, since it uses less digits than its factorization.

1801075680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23673 (or 23662 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1801075680 is about 42439.0819881863. The cubic root of 1801075680 is about 1216.6826657891.

The spelling of 1801075680 in words is "one billion, eight hundred one million, seventy-five thousand, six hundred eighty".