80011008 has 324 divisors, whose sum is σ = 296862384. Its totient is φ = 20275200.

The previous prime is 80010991. The next prime is 80011013.

It is a happy number.

80011008 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×80011008² = 12803522802352128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

80011008 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1951468 + ... + 1951508.

Almost surely, 2^80011008 is an apocalyptic number.

80011008 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 80011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148431192).

80011008 is an abundant number, since it is smaller than the sum of its proper divisors (216851376).

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

80011008 is a wasteful number, since it uses less digits than its factorization.

80011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 80011008 is about 8944.8872547394. The cubic root of 80011008 is about 430.9067004475.

It can be divided in two parts, 8001 and 1008, that added together give a palindrome (9009).

The spelling of 80011008 in words is "eighty million, eleven thousand, eight".