8067200400 has 480 divisors, whose sum is σ = 34750990080. Its totient is φ = 1735188480.

The previous prime is 8067200399. The next prime is 8067200423. The reversal of 8067200400 is 40027608.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1282062 + ... + 1288338.

It is an arithmetic number, because the mean of its divisors is an integer number (72397896).

Almost surely, 2^8067200400 is an apocalyptic number.

8067200400 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 8067200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375495040).

8067200400 is an abundant number, since it is smaller than the sum of its proper divisors (26683789680).

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

8067200400 is a wasteful number, since it uses less digits than its factorization.

8067200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8067200400 is about 89817.5951581871. The cubic root of 8067200400 is about 2005.5844259140.

The spelling of 8067200400 in words is "eight billion, sixty-seven million, two hundred thousand, four hundred".