8180480 has 144 divisors (see below), whose sum is σ = 24724224. Its totient is φ = 2519040.

The previous prime is 8180477. The next prime is 8180483. The reversal of 8180480 is 840818.

It is an interprime number because it is at equal distance from previous prime (8180477) and next prime (8180483).

It is not an unprimeable number, because it can be changed into a prime (8180483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98519 + ... + 98601.

It is an arithmetic number, because the mean of its divisors is an integer number (171696).

Almost surely, 2^8180480 is an apocalyptic number.

8180480 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 8180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362112).

8180480 is an abundant number, since it is smaller than the sum of its proper divisors (16543744).

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

8180480 is a wasteful number, since it uses less digits than its factorization.

8180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 8180480 is about 2860.1538420162. The cubic root of 8180480 is about 201.4928295757.

The spelling of 8180480 in words is "eight million, one hundred eighty thousand, four hundred eighty".