80071008 has 48 divisors (see below), whose sum is σ = 211087296. Its totient is φ = 26576000.

The previous prime is 80070983. The next prime is 80071021. The reversal of 80071008 is 80017008.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×80071008² = 12822732644272128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 22435 + ... + 25757.

It is an arithmetic number, because the mean of its divisors is an integer number (4397652).

Almost surely, 2^80071008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80071008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105543648).

80071008 is an abundant number, since it is smaller than the sum of its proper divisors (131016288).

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

80071008 is a wasteful number, since it uses less digits than its factorization.

80071008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 80071008 is about 8948.2404974386. The cubic root of 80071008 is about 431.0143853884.

The spelling of 80071008 in words is "eighty million, seventy-one thousand, eight".