8090880 has 216 divisors, whose sum is σ = 30758112. Its totient is φ = 1806336.

The previous prime is 8090879. The next prime is 8090891. The reversal of 8090880 is 880908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188139 + ... + 188181.

Almost surely, 2^8090880 is an apocalyptic number.

8090880 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 8090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15379056).

8090880 is an abundant number, since it is smaller than the sum of its proper divisors (22667232).

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

8090880 is a wasteful number, since it uses less digits than its factorization.

8090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 8090880 is about 2844.4472222209. The cubic root of 8090880 is about 200.7544835273.

The spelling of 8090880 in words is "eight million, ninety thousand, eight hundred eighty".