8320400 has 120 divisors (see below), whose sum is σ = 22879488. Its totient is φ = 2880000.

The previous prime is 8320393. The next prime is 8320409. The reversal of 8320400 is 40238.

It is not an unprimeable number, because it can be changed into a prime (8320409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136370 + ... + 136430.

Almost surely, 2^8320400 is an apocalyptic number.

8320400 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 8320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11439744).

8320400 is an abundant number, since it is smaller than the sum of its proper divisors (14559088).

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

8320400 is a wasteful number, since it uses less digits than its factorization.

8320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 8320400 is about 2884.5103570624. The cubic root of 8320400 is about 202.6351280178.

Adding to 8320400 its reverse (40238), we get a palindrome (8360638).

The spelling of 8320400 in words is "eight million, three hundred twenty thousand, four hundred".