804872859840 has 896 divisors, whose sum is σ = 3373091389440. Its totient is φ = 176795136000.

The previous prime is 804872859829. The next prime is 804872859851. The reversal of 804872859840 is 48958278408.

804872859840 is a `hidden beast` number, since 8 + 0 + 487 + 28 + 5 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (804872859829) and next prime (804872859851).

It is a super-3 number, since 3×804872859840³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 283105459 + ... + 283108301.

Almost surely, 2^804872859840 is an apocalyptic number.

804872859840 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 804872859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686545694720).

804872859840 is an abundant number, since it is smaller than the sum of its proper divisors (2568218529600).

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

804872859840 is a wasteful number, since it uses less digits than its factorization.

804872859840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 804872859840 in words is "eight hundred four billion, eight hundred seventy-two million, eight hundred fifty-nine thousand, eight hundred forty".