8064230400 has 330 divisors, whose sum is σ = 29868575330. Its totient is φ = 2149908480.

The previous prime is 8064230393. The next prime is 8064230411. The reversal of 8064230400 is 40324608.

It can be written as a sum of positive squares in 3 ways, for example, as 1040449536 + 7023780864 = 32256^2 + 83808^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2071656 + ... + 2075544.

Almost surely, 2^8064230400 is an apocalyptic number.

8064230400 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 8064230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14934287665).

8064230400 is an abundant number, since it is smaller than the sum of its proper divisors (21804344930).

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

8064230400 is a wasteful number, since it uses less digits than its factorization.

8064230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8064230400 is about 89801.0601273727. The cubic root of 8064230400 is about 2005.3382720818.

The spelling of 8064230400 in words is "eight billion, sixty-four million, two hundred thirty thousand, four hundred".