813109779076 has 81 divisors (see below), whose sum is σ = 1715077509327. Its totient is φ = 336307728960.

The previous prime is 813109779073. The next prime is 813109779137. The reversal of 813109779076 is 670977901318.

The square root of 813109779076 is 901726.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 34197625476 + 778912153600 = 184926^2 + 882560^2 .

It is a super-2 number, since 2×813109779076² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 813109779076.

It is not an unprimeable number, because it can be changed into a prime (813109779073) 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 26 ways as a sum of consecutive naturals, for example, 366099646 + ... + 366101866.

Almost surely, 2^813109779076 is an apocalyptic number.

813109779076 is the 901726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813109779076

813109779076 is an abundant number, since it is smaller than the sum of its proper divisors (901967730251).

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

813109779076 is an equidigital number, since it uses as much as digits as its factorization.

813109779076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 58.

The spelling of 813109779076 in words is "eight hundred thirteen billion, one hundred nine million, seven hundred seventy-nine thousand, seventy-six".