819816075 has 72 divisors (see below), whose sum is σ = 1674455328. Its totient is φ = 379837440.

The previous prime is 819816073. The next prime is 819816077. The reversal of 819816075 is 570618918.

It is an interprime number because it is at equal distance from previous prime (819816073) and next prime (819816077).

It is not a de Polignac number, because 819816075 - 2¹ = 819816073 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 819816075.

It is not an unprimeable number, because it can be changed into a prime (819816073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41482 + ... + 57968.

It is an arithmetic number, because the mean of its divisors is an integer number (23256324).

Almost surely, 2^819816075 is an apocalyptic number.

819816075 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

819816075 is an abundant number, since it is smaller than the sum of its proper divisors (854639253).

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

819816075 is a wasteful number, since it uses less digits than its factorization.

819816075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16533 (or 16525 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 819816075 is about 28632.4304766466. The cubic root of 819816075 is about 935.9201765973.

The spelling of 819816075 in words is "eight hundred nineteen million, eight hundred sixteen thousand, seventy-five".