800063282880 has 280 divisors, whose sum is σ = 2906522739648. Its totient is φ = 208810524672.

The previous prime is 800063282831. The next prime is 800063282881. The reversal of 800063282880 is 88282360008.

800063282880 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 632 + 8 + 2 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×800063282880² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (800063282881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 889872 + ... + 1546608.

Almost surely, 2^800063282880 is an apocalyptic number.

800063282880 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 800063282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453261369824).

800063282880 is an abundant number, since it is smaller than the sum of its proper divisors (2106459456768).

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

800063282880 is a wasteful number, since it uses less digits than its factorization.

800063282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656813 (or 656794 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 800063282880 in words is "eight hundred billion, sixty-three million, two hundred eighty-two thousand, eight hundred eighty".