804760067408 has 120 divisors (see below), whose sum is σ = 1780049507040. Its totient is φ = 351772960000.

The previous prime is 804760067401. The next prime is 804760067413.

804760067408 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804760067401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14063591 + ... + 14120697.

It is an arithmetic number, because the mean of its divisors is an integer number (14833745892).

Almost surely, 2^804760067408 is an apocalyptic number.

804760067408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804760067408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890024753520).

804760067408 is an abundant number, since it is smaller than the sum of its proper divisors (975289439632).

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

804760067408 is a wasteful number, since it uses less digits than its factorization.

804760067408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57417 (or 57400 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 50.

The spelling of 804760067408 in words is "eight hundred four billion, seven hundred sixty million, sixty-seven thousand, four hundred eight".