8492800 has 54 divisors (see below), whose sum is σ = 21036848. Its totient is φ = 3394560.

The previous prime is 8492797. The next prime is 8492831. The reversal of 8492800 is 82948.

8492800 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5737 + ... + 7063.

Almost surely, 2^8492800 is an apocalyptic number.

8492800 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 8492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10518424).

8492800 is an abundant number, since it is smaller than the sum of its proper divisors (12544048).

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

8492800 is a wasteful number, since it uses less digits than its factorization.

8492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 8492800 is about 2914.2408960139. The cubic root of 8492800 is about 204.0251154519.

The spelling of 8492800 in words is "eight million, four hundred ninety-two thousand, eight hundred".