813899872080 has 960 divisors, whose sum is σ = 3035153452032. Its totient is φ = 194836561920.

The previous prime is 813899872069. The next prime is 813899872081. The reversal of 813899872080 is 80278998318.

813899872080 is a `hidden beast` number, since 81 + 389 + 9 + 87 + 20 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 813899871999 and 813899872017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813899872081) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2305665184 + ... + 2305665536.

Almost surely, 2^813899872080 is an apocalyptic number.

813899872080 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 813899872080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517576726016).

813899872080 is an abundant number, since it is smaller than the sum of its proper divisors (2221253579952).

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

813899872080 is a wasteful number, since it uses less digits than its factorization.

813899872080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 813899872080 in words is "eight hundred thirteen billion, eight hundred ninety-nine million, eight hundred seventy-two thousand, eighty".