8001400 has 48 divisors (see below), whose sum is σ = 20300040. Its totient is φ = 2908800.

The previous prime is 8001359. The next prime is 8001491. The reversal of 8001400 is 41008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382 + ... + 4018.

Almost surely, 2^8001400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10150020).

8001400 is an abundant number, since it is smaller than the sum of its proper divisors (12298640).

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

8001400 is a wasteful number, since it uses less digits than its factorization.

8001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8001400 is about 2828.6746012930. The cubic root of 8001400 is about 200.0116659862.

Adding to 8001400 its reverse (41008), we get a palindrome (8042408).

The spelling of 8001400 in words is "eight million, one thousand, four hundred".