1780138302720 has 144 divisors (see below), whose sum is σ = 5697984398400. Its totient is φ = 473645842432.

The previous prime is 1780138302689. The next prime is 1780138302721. The reversal of 1780138302720 is 272038310871.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1780138302721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1207927 + ... + 2240393.

It is an arithmetic number, because the mean of its divisors is an integer number (39569336100).

Almost surely, 2^{1780138302720} is an apocalyptic number.

1780138302720 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 1780138302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848992199200).

1780138302720 is an abundant number, since it is smaller than the sum of its proper divisors (3917846095680).

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

1780138302720 is a wasteful number, since it uses less digits than its factorization.

1780138302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032940 (or 1032926 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 1780138302720 in words is "one trillion, seven hundred eighty billion, one hundred thirty-eight million, three hundred two thousand, seven hundred twenty".