819394840 has 128 divisors (see below), whose sum is σ = 2101619520. Its totient is φ = 284876800.

The previous prime is 819394819. The next prime is 819394879. The reversal of 819394840 is 48493918.

819394840 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 955692 + ... + 956548.

Almost surely, 2^819394840 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 819394840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050809760).

819394840 is an abundant number, since it is smaller than the sum of its proper divisors (1282224680).

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

819394840 is a wasteful number, since it uses less digits than its factorization.

819394840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 819394840 is about 28625.0736243595. The cubic root of 819394840 is about 935.7598520686.

The spelling of 819394840 in words is "eight hundred nineteen million, three hundred ninety-four thousand, eight hundred forty".