8282400 has 288 divisors, whose sum is σ = 33747840. Its totient is φ = 1720320.

The previous prime is 8282377. The next prime is 8282401. The reversal of 8282400 is 42828.

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

It is not an unprimeable number, because it can be changed into a prime (8282401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285586 + ... + 285614.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^8282400 is an apocalyptic number.

8282400 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 8282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

8282400 is an abundant number, since it is smaller than the sum of its proper divisors (25465440).

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

8282400 is a wasteful number, since it uses less digits than its factorization.

8282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8282400 is about 2877.9159126006. The cubic root of 8282400 is about 202.3261730358.

The spelling of 8282400 in words is "eight million, two hundred eighty-two thousand, four hundred".