819767116 has 48 divisors (see below), whose sum is σ = 1687827456. Its totient is φ = 341025984.

The previous prime is 819767083. The next prime is 819767119. The reversal of 819767116 is 611767918.

819767116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (819767119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669681 + ... + 670903.

It is an arithmetic number, because the mean of its divisors is an integer number (35163072).

Almost surely, 2^819767116 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 819767116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843913728).

819767116 is an abundant number, since it is smaller than the sum of its proper divisors (868060340).

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

819767116 is a wasteful number, since it uses less digits than its factorization.

819767116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1916 counting only the distinct ones).

The product of its digits is 127008, while the sum is 46.

The square root of 819767116 is about 28631.5755067722. The cubic root of 819767116 is about 935.9015453337.

The spelling of 819767116 in words is "eight hundred nineteen million, seven hundred sixty-seven thousand, one hundred sixteen".