819300064 has 48 divisors (see below), whose sum is σ = 1852260480. Its totient is φ = 352805760.

The previous prime is 819300061. The next prime is 819300077. The reversal of 819300064 is 460003918.

It is a junction number, because it is equal to n+sod(n) for n = 819299999 and 819300035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819300061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54564 + ... + 67939.

It is an arithmetic number, because the mean of its divisors is an integer number (38588760).

Almost surely, 2^819300064 is an apocalyptic number.

It is an amenable number.

819300064 is an abundant number, since it is smaller than the sum of its proper divisors (1032960416).

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

819300064 is a wasteful number, since it uses less digits than its factorization.

819300064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122543 (or 122535 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 819300064 is about 28623.4181047617. The cubic root of 819300064 is about 935.7237721915.

The spelling of 819300064 in words is "eight hundred nineteen million, three hundred thousand, sixty-four".