1982078784 has 168 divisors, whose sum is σ = 6834875840. Its totient is φ = 536481792.

The previous prime is 1982078767. The next prime is 1982078801. The reversal of 1982078784 is 4878702891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1982078767) and next prime (1982078801).

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 1982078784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63672 + ... + 89544.

Almost surely, 2^1982078784 is an apocalyptic number.

1982078784 is a gapful number since it is divisible by the number (14) 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 1982078784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417437920).

1982078784 is an abundant number, since it is smaller than the sum of its proper divisors (4852797056).

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

1982078784 is a wasteful number, since it uses less digits than its factorization.

1982078784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25917 (or 25904 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 1982078784 is about 44520.5433929102. The cubic root of 1982078784 is about 1256.1465338118.

The spelling of 1982078784 in words is "one billion, nine hundred eighty-two million, seventy-eight thousand, seven hundred eighty-four".