8284080 has 80 divisors (see below), whose sum is σ = 29355264. Its totient is φ = 1893120.

The previous prime is 8284069. The next prime is 8284093. The reversal of 8284080 is 804828.

8284080 = T₄₈₁ + T₄₈₂ + ... + T₅₄₃.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786 + ... + 4145.

Almost surely, 2^8284080 is an apocalyptic number.

8284080 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 8284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14677632).

8284080 is an abundant number, since it is smaller than the sum of its proper divisors (21071184).

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

8284080 is a wasteful number, since it uses less digits than its factorization.

8284080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 8284080 is about 2878.2077756826. The cubic root of 8284080 is about 202.3398520415.

The spelling of 8284080 in words is "eight million, two hundred eighty-four thousand, eighty".