8001326400 has 84 divisors (see below), whose sum is σ = 26251034112. Its totient is φ = 2133685760.

The previous prime is 8001326387. The next prime is 8001326401. The reversal of 8001326400 is 46231008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001326401) 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, 828672 + ... + 838271.

Almost surely, 2^8001326400 is an apocalyptic number.

8001326400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8001326400 is an abundant number, since it is smaller than the sum of its proper divisors (18249707712).

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

8001326400 is a wasteful number, since it uses less digits than its factorization.

8001326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666968 (or 1666953 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 8001326400 is about 89450.1335940869. The cubic root of 8001326400 is about 2000.1105272251.

Adding to 8001326400 its reverse (46231008), we get a palindrome (8047557408).

The spelling of 8001326400 in words is "eight billion, one million, three hundred twenty-six thousand, four hundred".