813286980 has 252 divisors, whose sum is σ = 2820740076. Its totient is φ = 196732800.

The previous prime is 813286949. The next prime is 813287003. The reversal of 813286980 is 89682318.

It can be written as a sum of positive squares in 2 ways, for example, as 276623424 + 536663556 = 16632^2 + 23166^2 .

It is a super-2 number, since 2×813286980² = 1322871423675040800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 83 ways as a sum of consecutive naturals, for example, 1763950 + ... + 1764410.

It is an arithmetic number, because the mean of its divisors is an integer number (11193413).

Almost surely, 2^813286980 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 813286980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410370038).

813286980 is an abundant number, since it is smaller than the sum of its proper divisors (2007453096).

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

813286980 is a wasteful number, since it uses less digits than its factorization.

813286980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 813286980 is about 28518.1868287589. The cubic root of 813286980 is about 933.4289649743.

The spelling of 813286980 in words is "eight hundred thirteen million, two hundred eighty-six thousand, nine hundred eighty".