804073370408 has 256 divisors, whose sum is σ = 1938086092800. Its totient is φ = 303730560000.

The previous prime is 804073370371. The next prime is 804073370417.

804073370408 is nontrivially palindromic in base 10.

804073370408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719850266 + ... + 719851382.

It is an arithmetic number, because the mean of its divisors is an integer number (7570648800).

Almost surely, 2^804073370408 is an apocalyptic number.

804073370408 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 804073370408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969043046400).

804073370408 is an abundant number, since it is smaller than the sum of its proper divisors (1134012722392).

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

804073370408 is a wasteful number, since it uses less digits than its factorization.

804073370408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 804073370408 in words is "eight hundred four billion, seventy-three million, three hundred seventy thousand, four hundred eight".