819877006080 has 576 divisors, whose sum is σ = 3221389785600. Its totient is φ = 195785441280.

The previous prime is 819877006033. The next prime is 819877006121. The reversal of 819877006080 is 80600778918.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25454626 + ... + 25486814.

It is an arithmetic number, because the mean of its divisors is an integer number (5592690600).

Almost surely, 2^819877006080 is an apocalyptic number.

819877006080 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 819877006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610694892800).

819877006080 is an abundant number, since it is smaller than the sum of its proper divisors (2401512779520).

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

819877006080 is a wasteful number, since it uses less digits than its factorization.

819877006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32297 (or 32277 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 819877006080 in words is "eight hundred nineteen billion, eight hundred seventy-seven million, six thousand, eighty".