8082900 has 108 divisors (see below), whose sum is σ = 28977312. Its totient is φ = 1846080.

The previous prime is 8082889. The next prime is 8082911. The reversal of 8082900 is 92808.

It is an interprime number because it is at equal distance from previous prime (8082889) and next prime (8082911).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5659 + ... + 6941.

Almost surely, 2^8082900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8082900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14488656).

8082900 is an abundant number, since it is smaller than the sum of its proper divisors (20894412).

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

8082900 is a wasteful number, since it uses less digits than its factorization.

8082900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8082900 is about 2843.0441431677. The cubic root of 8082900 is about 200.6884607232.

The spelling of 8082900 in words is "eight million, eighty-two thousand, nine hundred".