8006400 has 162 divisors, whose sum is σ = 28830620. Its totient is φ = 2119680.

The previous prime is 8006387. The next prime is 8006437. The reversal of 8006400 is 46008.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

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, 57531 + ... + 57669.

Almost surely, 2^8006400 is an apocalyptic number.

8006400 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 8006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415310).

8006400 is an abundant number, since it is smaller than the sum of its proper divisors (20824220).

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

8006400 is a wasteful number, since it uses less digits than its factorization.

8006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8006400 is about 2829.5582694124. The cubic root of 8006400 is about 200.0533191174.

The spelling of 8006400 in words is "eight million, six thousand, four hundred".