1800416782080 has 1152 divisors, whose sum is σ = 7456276531200. Its totient is φ = 407945134080.

The previous prime is 1800416782079. The next prime is 1800416782117. The reversal of 1800416782080 is 802876140081.

1800416782080 is a `hidden beast` number, since 1 + 80 + 0 + 416 + 7 + 82 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2723776950 + ... + 2723777610.

Almost surely, 2^{1800416782080} is an apocalyptic number.

1800416782080 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 1800416782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728138265600).

1800416782080 is an abundant number, since it is smaller than the sum of its proper divisors (5655859749120).

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

1800416782080 is an frugal number, since it uses more digits than its factorization.

1800416782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 1800416782080 in words is "one trillion, eight hundred billion, four hundred sixteen million, seven hundred eighty-two thousand, eighty".