813061680 has 320 divisors, whose sum is σ = 2804582400. Its totient is φ = 194088960.

The previous prime is 813061651. The next prime is 813061721. The reversal of 813061680 is 86160318.

813061680 = T₃₁ + T₃₂ + ... + T₁₆₉₅.

It is a super-2 number, since 2×813061680² = 1322138590968844800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 10291881 + ... + 10291959.

It is an arithmetic number, because the mean of its divisors is an integer number (8764320).

Almost surely, 2^813061680 is an apocalyptic number.

813061680 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 813061680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402291200).

813061680 is an abundant number, since it is smaller than the sum of its proper divisors (1991520720).

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

813061680 is a wasteful number, since it uses less digits than its factorization.

813061680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 813061680 is about 28514.2364442746. The cubic root of 813061680 is about 933.3427629433.

The spelling of 813061680 in words is "eight hundred thirteen million, sixty-one thousand, six hundred eighty".