8306400 has 72 divisors (see below), whose sum is σ = 27045144. Its totient is φ = 2214400.

The previous prime is 8306393. The next prime is 8306407. The reversal of 8306400 is 46038.

It is an interprime number because it is at equal distance from previous prime (8306393) and next prime (8306407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8306407) 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, 670 + ... + 4130.

It is an arithmetic number, because the mean of its divisors is an integer number (375627).

Almost surely, 2^8306400 is an apocalyptic number.

8306400 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 8306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13522572).

8306400 is an abundant number, since it is smaller than the sum of its proper divisors (18738744).

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

8306400 is a wasteful number, since it uses less digits than its factorization.

8306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 8306400 is about 2882.0825803575. The cubic root of 8306400 is about 202.5214121544.

The spelling of 8306400 in words is "eight million, three hundred six thousand, four hundred".