804355272000 has 3136 divisors, whose sum is σ = 3866630376960. Its totient is φ = 161243136000.

The previous prime is 804355271963. The next prime is 804355272023. The reversal of 804355272000 is 272553408.

804355272000 is a `hidden beast` number, since 80 + 4 + 3 + 552 + 7 + 20 + 0 + 0 = 666.

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 447 ways as a sum of consecutive naturals, for example, 13186151970 + ... + 13186152030.

Almost surely, 2^804355272000 is an apocalyptic number.

804355272000 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 804355272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933315188480).

804355272000 is an abundant number, since it is smaller than the sum of its proper divisors (3062275104960).

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

804355272000 is a wasteful number, since it uses less digits than its factorization.

804355272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 804355272000 in words is "eight hundred four billion, three hundred fifty-five million, two hundred seventy-two thousand".