801782472960 has 1728 divisors, whose sum is σ = 3570460508160. Its totient is φ = 161812316160.

The previous prime is 801782472941. The next prime is 801782472961. The reversal of 801782472960 is 69274287108.

It is a happy number.

801782472960 is a `hidden beast` number, since 8 + 0 + 1 + 7 + 82 + 472 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 801782472897 and 801782472906.

It is not an unprimeable number, because it can be changed into a prime (801782472961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1860283945 + ... + 1860284375.

It is an arithmetic number, because the mean of its divisors is an integer number (2066238720).

Almost surely, 2^801782472960 is an apocalyptic number.

801782472960 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 801782472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785230254080).

801782472960 is an abundant number, since it is smaller than the sum of its proper divisors (2768678035200).

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

801782472960 is a wasteful number, since it uses less digits than its factorization.

801782472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 801782472960 in words is "eight hundred one billion, seven hundred eighty-two million, four hundred seventy-two thousand, nine hundred sixty".