8032004400 has 480 divisors, whose sum is σ = 30953241088. Its totient is φ = 1741824000.

The previous prime is 8032004381. The next prime is 8032004473. The reversal of 8032004400 is 44002308.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13364100 + ... + 13364700.

Almost surely, 2^8032004400 is an apocalyptic number.

8032004400 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 8032004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15476620544).

8032004400 is an abundant number, since it is smaller than the sum of its proper divisors (22921236688).

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

8032004400 is a wasteful number, since it uses less digits than its factorization.

8032004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 8032004400 is about 89621.4505573303. The cubic root of 8032004400 is about 2002.6634846834.

Adding to 8032004400 its reverse (44002308), we get a palindrome (8076006708).

The spelling of 8032004400 in words is "eight billion, thirty-two million, four thousand, four hundred".