1800727040 has 320 divisors, whose sum is σ = 5472935424. Its totient is φ = 553648128.

The previous prime is 1800727021. The next prime is 1800727079. The reversal of 1800727040 is 407270081.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 1800726994 and 1800727012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7006592 + ... + 7006848.

Almost surely, 2^1800727040 is an apocalyptic number.

1800727040 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 1800727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736467712).

1800727040 is an abundant number, since it is smaller than the sum of its proper divisors (3672208384).

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

1800727040 is a wasteful number, since it uses less digits than its factorization.

1800727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 1800727040 is about 42434.9742547347. The cubic root of 1800727040 is about 1216.6041550001.

The spelling of 1800727040 in words is "one billion, eight hundred million, seven hundred twenty-seven thousand, forty".