1778071680 has 768 divisors, whose sum is σ = 8096025600. Its totient is φ = 348364800.

The previous prime is 1778071679. The next prime is 1778071709. The reversal of 1778071680 is 861708771.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8426775 + ... + 8426985.

It is an arithmetic number, because the mean of its divisors is an integer number (10541700).

Almost surely, 2^1778071680 is an apocalyptic number.

1778071680 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 1778071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048012800).

1778071680 is an abundant number, since it is smaller than the sum of its proper divisors (6317953920).

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

1778071680 is a wasteful number, since it uses less digits than its factorization.

1778071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The square root of 1778071680 is about 42167.1872431634. The cubic root of 1778071680 is about 1211.4804818489.

The spelling of 1778071680 in words is "one billion, seven hundred seventy-eight million, seventy-one thousand, six hundred eighty".