813166788 has 96 divisors (see below), whose sum is σ = 2299852800. Its totient is φ = 218439936.

The previous prime is 813166751. The next prime is 813166793. The reversal of 813166788 is 887661318.

813166788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×813166788² = 1322480450212473888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216793 + ... + 220511.

It is an arithmetic number, because the mean of its divisors is an integer number (23956800).

Almost surely, 2^813166788 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 813166788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149926400).

813166788 is an abundant number, since it is smaller than the sum of its proper divisors (1486686012).

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

813166788 is a wasteful number, since it uses less digits than its factorization.

813166788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3887 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 813166788 is about 28516.0794640498. The cubic root of 813166788 is about 933.3829802956.

The spelling of 813166788 in words is "eight hundred thirteen million, one hundred sixty-six thousand, seven hundred eighty-eight".