819802016 has 48 divisors (see below), whose sum is σ = 1864296000. Its totient is φ = 350714880.

The previous prime is 819802013. The next prime is 819802019. The reversal of 819802016 is 610208918.

819802016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (819802013) and next prime (819802019).

It is not an unprimeable number, because it can be changed into a prime (819802013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62516 + ... + 74483.

It is an arithmetic number, because the mean of its divisors is an integer number (38839500).

Almost surely, 2^819802016 is an apocalyptic number.

It is an amenable number.

819802016 is an abundant number, since it is smaller than the sum of its proper divisors (1044493984).

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

819802016 is a wasteful number, since it uses less digits than its factorization.

819802016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137037 (or 137029 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 819802016 is about 28632.1849672707. The cubic root of 819802016 is about 935.9148265449.

The spelling of 819802016 in words is "eight hundred nineteen million, eight hundred two thousand, sixteen".