804940382208 has 256 divisors, whose sum is σ = 2179377434880. Its totient is φ = 264241152000.

The previous prime is 804940382203. The next prime is 804940382219. The reversal of 804940382208 is 802283049408.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×804940382208² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804940382203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3132063616 + ... + 3132063872.

It is an arithmetic number, because the mean of its divisors is an integer number (8513193105).

Almost surely, 2^804940382208 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 804940382208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089688717440).

804940382208 is an abundant number, since it is smaller than the sum of its proper divisors (1374437052672).

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

804940382208 is a wasteful number, since it uses less digits than its factorization.

804940382208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 804940382208 in words is "eight hundred four billion, nine hundred forty million, three hundred eighty-two thousand, two hundred eight".