8327606400 has 576 divisors, whose sum is σ = 32030617320. Its totient is φ = 2052587520.

The previous prime is 8327606377. The next prime is 8327606407. The reversal of 8327606400 is 46067238.

8327606400 is a `hidden beast` number, since 8 + 3 + 2 + 7 + 6 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 607523904 + 7720082496 = 24648^2 + 87864^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8327606407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 35740684 + ... + 35740916.

Almost surely, 2^8327606400 is an apocalyptic number.

8327606400 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 8327606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015308660).

8327606400 is an abundant number, since it is smaller than the sum of its proper divisors (23703010920).

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

8327606400 is a wasteful number, since it uses less digits than its factorization.

8327606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 8327606400 is about 91255.7198207323. The cubic root of 8327606400 is about 2026.9361272218.

It can be divided in two parts, 832760 and 6400, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 8327606400 in words is "eight billion, three hundred twenty-seven million, six hundred six thousand, four hundred".