8407080 has 144 divisors (see below), whose sum is σ = 30188340. Its totient is φ = 2027520.

The previous prime is 8407079. The next prime is 8407099. The reversal of 8407080 is 807048.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8054244 + 352836 = 2838^2 + 594^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43464 + ... + 43656.

Almost surely, 2^8407080 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 8407080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15094170).

8407080 is an abundant number, since it is smaller than the sum of its proper divisors (21781260).

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

8407080 is a wasteful number, since it uses less digits than its factorization.

8407080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8407080 is about 2899.4965080165. The cubic root of 8407080 is about 203.3363671201.

The spelling of 8407080 in words is "eight million, four hundred seven thousand, eighty".