8200922400 has 432 divisors, whose sum is σ = 33408674208. Its totient is φ = 1870848000.

The previous prime is 8200922399. The next prime is 8200922413. The reversal of 8200922400 is 42290028.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1343355 + ... + 1349445.

It is an arithmetic number, because the mean of its divisors is an integer number (77334894).

Almost surely, 2^8200922400 is an apocalyptic number.

8200922400 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 8200922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16704337104).

8200922400 is an abundant number, since it is smaller than the sum of its proper divisors (25207751808).

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

8200922400 is a wasteful number, since it uses less digits than its factorization.

8200922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6145 (or 6129 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8200922400 is about 90558.9443401368. The cubic root of 8200922400 is about 2016.6052840487.

The spelling of 8200922400 in words is "eight billion, two hundred million, nine hundred twenty-two thousand, four hundred".