8026436880 has 320 divisors, whose sum is σ = 34469222400. Its totient is φ = 1667796480.

The previous prime is 8026436879. The next prime is 8026436881. The reversal of 8026436880 is 886346208.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8026436879) and next prime (8026436881).

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 (8026436881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 142191 + ... + 190449.

It is an arithmetic number, because the mean of its divisors is an integer number (107716320).

Almost surely, 2^8026436880 is an apocalyptic number.

8026436880 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 8026436880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17234611200).

8026436880 is an abundant number, since it is smaller than the sum of its proper divisors (26442785520).

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

8026436880 is a wasteful number, since it uses less digits than its factorization.

8026436880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48299 (or 48287 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8026436880 is about 89590.3838589834. The cubic root of 8026436880 is about 2002.2006510128.

The spelling of 8026436880 in words is "eight billion, twenty-six million, four hundred thirty-six thousand, eight hundred eighty".