8400080 has 80 divisors (see below), whose sum is σ = 21654864. Its totient is φ = 3010560.

The previous prime is 8400079. The next prime is 8400097. The reversal of 8400080 is 800048.

It can be written as a sum of positive squares in 8 ways, for example, as 425104 + 7974976 = 652^2 + 2824^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×8400080² = 141122688012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42542 + ... + 42738.

Almost surely, 2^8400080 is an apocalyptic number.

8400080 is a gapful number since it is divisible by the number (80) 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 8400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10827432).

8400080 is an abundant number, since it is smaller than the sum of its proper divisors (13254784).

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

8400080 is a wasteful number, since it uses less digits than its factorization.

8400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 8400080 is about 2898.2891505162. The cubic root of 8400080 is about 203.2799166919.

The spelling of 8400080 in words is "eight million, four hundred thousand, eighty".