819927680 has 384 divisors, whose sum is σ = 2525160960. Its totient is φ = 250675200.

The previous prime is 819927671. The next prime is 819927683. The reversal of 819927680 is 86729918.

It is not an unprimeable number, because it can be changed into a prime (819927683) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26449265 + ... + 26449295.

It is an arithmetic number, because the mean of its divisors is an integer number (6575940).

Almost surely, 2^819927680 is an apocalyptic number.

819927680 is a gapful number since it is divisible by the number (80) 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 819927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262580480).

819927680 is an abundant number, since it is smaller than the sum of its proper divisors (1705233280).

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

819927680 is a wasteful number, since it uses less digits than its factorization.

819927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 50.

The square root of 819927680 is about 28634.3793367344. The cubic root of 819927680 is about 935.9626449163.

The spelling of 819927680 in words is "eight hundred nineteen million, nine hundred twenty-seven thousand, six hundred eighty".