1780180123680 has 1728 divisors, whose sum is σ = 7760694509568. Its totient is φ = 363379322880.

The previous prime is 1780180123669. The next prime is 1780180123681. The reversal of 1780180123680 is 863210810871.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1780180123681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4850626857 + ... + 4850627223.

It is an arithmetic number, because the mean of its divisors is an integer number (4491142656).

Almost surely, 2^{1780180123680} is an apocalyptic number.

1780180123680 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 1780180123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880347254784).

1780180123680 is an abundant number, since it is smaller than the sum of its proper divisors (5980514385888).

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

1780180123680 is a wasteful number, since it uses less digits than its factorization.

1780180123680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1780180123680 in words is "one trillion, seven hundred eighty billion, one hundred eighty million, one hundred twenty-three thousand, six hundred eighty".