8212400 has 90 divisors (see below), whose sum is σ = 23006340. Its totient is φ = 2808960.

The previous prime is 8212397. The next prime is 8212439. The reversal of 8212400 is 42128.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19391 + ... + 19809.

It is an arithmetic number, because the mean of its divisors is an integer number (255626).

Almost surely, 2^8212400 is an apocalyptic number.

8212400 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 8212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503170).

8212400 is an abundant number, since it is smaller than the sum of its proper divisors (14793940).

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

8212400 is a wasteful number, since it uses less digits than its factorization.

8212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 8212400 is about 2865.7285286642. The cubic root of 8212400 is about 201.7545625398.

Adding to 8212400 its reverse (42128), we get a palindrome (8254528).

The spelling of 8212400 in words is "eight million, two hundred twelve thousand, four hundred".