1780038144 has 120 divisors (see below), whose sum is σ = 5247253440. Its totient is φ = 580651008.

The previous prime is 1780038121. The next prime is 1780038151. The reversal of 1780038144 is 4418300871.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1780038099 and 1780038108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212467 + ... + 220685.

It is an arithmetic number, because the mean of its divisors is an integer number (43727112).

Almost surely, 2^1780038144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1780038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623626720).

1780038144 is an abundant number, since it is smaller than the sum of its proper divisors (3467215296).

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

1780038144 is an equidigital number, since it uses as much as digits as its factorization.

1780038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8290 (or 8271 counting only the distinct ones).

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

The square root of 1780038144 is about 42190.4982667899. The cubic root of 1780038144 is about 1211.9269308627.

The spelling of 1780038144 in words is "one billion, seven hundred eighty million, thirty-eight thousand, one hundred forty-four".