80055008 has 48 divisors (see below), whose sum is σ = 172658304. Its totient is φ = 36236160.

The previous prime is 80055007. The next prime is 80055067.

80055008 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80055007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164141 + ... + 164627.

It is an arithmetic number, because the mean of its divisors is an integer number (3597048).

Almost surely, 2^80055008 is an apocalyptic number.

80055008 is a gapful number since it is divisible by the number (88) 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 80055008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86329152).

80055008 is an abundant number, since it is smaller than the sum of its proper divisors (92603296).

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

80055008 is a wasteful number, since it uses less digits than its factorization.

80055008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 80055008 is about 8947.3464222640. The cubic root of 80055008 is about 430.9856746656.

The spelling of 80055008 in words is "eighty million, fifty-five thousand, eight".