804009672000 has 448 divisors, whose sum is σ = 3021802318080. Its totient is φ = 209170944000.

The previous prime is 804009671987. The next prime is 804009672019. The reversal of 804009672000 is 276900408.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 8810607 + ... + 8901393.

It is an arithmetic number, because the mean of its divisors is an integer number (6745094460).

Almost surely, 2^804009672000 is an apocalyptic number.

804009672000 is a gapful number since it is divisible by the number (80) 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 804009672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510901159040).

804009672000 is an abundant number, since it is smaller than the sum of its proper divisors (2217792646080).

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

804009672000 is a wasteful number, since it uses less digits than its factorization.

804009672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90864 (or 90838 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 804009672000 in words is "eight hundred four billion, nine million, six hundred seventy-two thousand".