1800247680 has 960 divisors, whose sum is σ = 8273089440. Its totient is φ = 364953600.

The previous prime is 1800247649. The next prime is 1800247681. The reversal of 1800247680 is 867420081.

1800247680 is a `hidden beast` number, since 180 + 0 + 2 + 476 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (1800247681) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43908460 + ... + 43908500.

Almost surely, 2^1800247680 is an apocalyptic number.

1800247680 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 1800247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136544720).

1800247680 is an abundant number, since it is smaller than the sum of its proper divisors (6472841760).

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

1800247680 is a wasteful number, since it uses less digits than its factorization.

1800247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1800247680 is about 42429.3257075811. The cubic root of 1800247680 is about 1216.4961906221.

The spelling of 1800247680 in words is "one billion, eight hundred million, two hundred forty-seven thousand, six hundred eighty".