780028483680 has 1344 divisors, whose sum is σ = 3078823608000. Its totient is φ = 185859588096.

The previous prime is 780028483649. The next prime is 780028483691. The reversal of 780028483680 is 86384820087.

780028483680 is a `hidden beast` number, since 7 + 80 + 0 + 2 + 8 + 483 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3406237806 + ... + 3406238034.

It is an arithmetic number, because the mean of its divisors is an integer number (2290791375).

Almost surely, 2^780028483680 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 780028483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539411804000).

780028483680 is an abundant number, since it is smaller than the sum of its proper divisors (2298795124320).

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

780028483680 is a wasteful number, since it uses less digits than its factorization.

780028483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 780028483680 in words is "seven hundred eighty billion, twenty-eight million, four hundred eighty-three thousand, six hundred eighty".