8027873046 has 96 divisors (see below), whose sum is σ = 18963584640. Its totient is φ = 2445956352.

The previous prime is 8027873041. The next prime is 8027873047. The reversal of 8027873046 is 6403787208.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8027872992 and 8027873010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8027873041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1217310 + ... + 1223886.

It is an arithmetic number, because the mean of its divisors is an integer number (197537340).

Almost surely, 2^8027873046 is an apocalyptic number.

8027873046 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8027873046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9481792320).

8027873046 is an abundant number, since it is smaller than the sum of its proper divisors (10935711594).

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

8027873046 is a wasteful number, since it uses less digits than its factorization.

8027873046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 8027873046 is about 89598.3986798871. The cubic root of 8027873046 is about 2002.3200614501.

The spelling of 8027873046 in words is "eight billion, twenty-seven million, eight hundred seventy-three thousand, forty-six".