819000820 has 48 divisors (see below), whose sum is σ = 1879653888. Its totient is φ = 297279360.

The previous prime is 819000817. The next prime is 819000863. The reversal of 819000820 is 28000918.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130474 + ... + 136606.

It is an arithmetic number, because the mean of its divisors is an integer number (39159456).

Almost surely, 2^819000820 is an apocalyptic number.

It is an amenable number.

819000820 is an abundant number, since it is smaller than the sum of its proper divisors (1060653068).

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

819000820 is a wasteful number, since it uses less digits than its factorization.

819000820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6760 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 819000820 is about 28618.1903690642. The cubic root of 819000820 is about 935.6098359857.

The spelling of 819000820 in words is "eight hundred nineteen million, eight hundred twenty", and thus it is an aban number.