8280400 has 60 divisors (see below), whose sum is σ = 20173312. Its totient is φ = 3265920.

The previous prime is 8280397. The next prime is 8280407. The reversal of 8280400 is 40828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8280407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50719 + ... + 50881.

Almost surely, 2^8280400 is an apocalyptic number.

8280400 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 8280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10086656).

8280400 is an abundant number, since it is smaller than the sum of its proper divisors (11892912).

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

8280400 is a wasteful number, since it uses less digits than its factorization.

8280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 8280400 is about 2877.5684179529. The cubic root of 8280400 is about 202.3098860931.

The spelling of 8280400 in words is "eight million, two hundred eighty thousand, four hundred".