8274396800 has 192 divisors, whose sum is σ = 21036153600. Its totient is φ = 3214848000.

The previous prime is 8274396799. The next prime is 8274396803. The reversal of 8274396800 is 86934728.

It is not an unprimeable number, because it can be changed into a prime (8274396803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17948570 + ... + 17949030.

It is an arithmetic number, because the mean of its divisors is an integer number (109563300).

Almost surely, 2^8274396800 is an apocalyptic number.

8274396800 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 8274396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10518076800).

8274396800 is an abundant number, since it is smaller than the sum of its proper divisors (12761756800).

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

8274396800 is a wasteful number, since it uses less digits than its factorization.

8274396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 8274396800 is about 90963.7114458288. The cubic root of 8274396800 is about 2022.6098345042.

The spelling of 8274396800 in words is "eight billion, two hundred seventy-four million, three hundred ninety-six thousand, eight hundred".