84008080 has 40 divisors (see below), whose sum is σ = 210345912. Its totient is φ = 31017984.

The previous prime is 84008077. The next prime is 84008083. The reversal of 84008080 is 8080048.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84008077) and next prime (84008083).

It can be written as a sum of positive squares in 4 ways, for example, as 17943696 + 66064384 = 4236^2 + 8128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (84008083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39349 + ... + 41428.

Almost surely, 2^84008080 is an apocalyptic number.

84008080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84008080 is an abundant number, since it is smaller than the sum of its proper divisors (126337832).

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

84008080 is a wasteful number, since it uses less digits than its factorization.

84008080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80803 (or 80797 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 84008080 is about 9165.5921794503. The cubic root of 84008080 is about 437.9659558063.

The spelling of 84008080 in words is "eighty-four million, eight thousand, eighty".