8082600 has 96 divisors (see below), whose sum is σ = 26412000. Its totient is φ = 2039040.

The previous prime is 8082563. The next prime is 8082611. The reversal of 8082600 is 62808.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11046 + ... + 11754.

It is an arithmetic number, because the mean of its divisors is an integer number (275125).

Almost surely, 2^8082600 is an apocalyptic number.

8082600 is the 1520-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8082600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13206000).

8082600 is an abundant number, since it is smaller than the sum of its proper divisors (18329400).

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

8082600 is a wasteful number, since it uses less digits than its factorization.

8082600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8082600 is about 2842.9913823295. The cubic root of 8082600 is about 200.6859778155.

The spelling of 8082600 in words is "eight million, eighty-two thousand, six hundred".