8202480 has 160 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 1827840.

The previous prime is 8202479. The next prime is 8202497. The reversal of 8202480 is 842028.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8202480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34201 + ... + 34439.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^8202480 is an apocalyptic number.

8202480 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 8202480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

8202480 is an abundant number, since it is smaller than the sum of its proper divisors (21795600).

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

8202480 is a wasteful number, since it uses less digits than its factorization.

8202480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8202480 is about 2863.9972067025. The cubic root of 8202480 is about 201.6732947150.

The spelling of 8202480 in words is "eight million, two hundred two thousand, four hundred eighty".