801406655280 has 960 divisors, whose sum is σ = 3450610575360. Its totient is φ = 161873510400.

The previous prime is 801406655251. The next prime is 801406655323. The reversal of 801406655280 is 82556604108.

801406655280 is a `hidden beast` number, since 8 + 0 + 14 + 0 + 6 + 6 + 552 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 287344126 + ... + 287346914.

It is an arithmetic number, because the mean of its divisors is an integer number (3594386016).

Almost surely, 2^801406655280 is an apocalyptic number.

801406655280 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 801406655280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725305287680).

801406655280 is an abundant number, since it is smaller than the sum of its proper divisors (2649203920080).

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

801406655280 is a wasteful number, since it uses less digits than its factorization.

801406655280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 801406655280 in words is "eight hundred one billion, four hundred six million, six hundred fifty-five thousand, two hundred eighty".