8208032400 has 480 divisors, whose sum is σ = 30721248000. Its totient is φ = 2078576640.

The previous prime is 8208032369. The next prime is 8208032407. The reversal of 8208032400 is 42308028.

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

It is not an unprimeable number, because it can be changed into a prime (8208032407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22863421 + ... + 22863779.

It is an arithmetic number, because the mean of its divisors is an integer number (64002600).

Almost surely, 2^8208032400 is an apocalyptic number.

8208032400 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 8208032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15360624000).

8208032400 is an abundant number, since it is smaller than the sum of its proper divisors (22513215600).

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

8208032400 is a wasteful number, since it uses less digits than its factorization.

8208032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8208032400 is about 90598.1920349407. The cubic root of 8208032400 is about 2017.1878982670.

The spelling of 8208032400 in words is "eight billion, two hundred eight million, thirty-two thousand, four hundred".