8122734400 has 168 divisors, whose sum is σ = 22313152224. Its totient is φ = 2884761600.

The previous prime is 8122734377. The next prime is 8122734437. The reversal of 8122734400 is 44372218.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751434 + ... + 762166.

Almost surely, 2^8122734400 is an apocalyptic number.

8122734400 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 8122734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11156576112).

8122734400 is an abundant number, since it is smaller than the sum of its proper divisors (14190417824).

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

8122734400 is a wasteful number, since it uses less digits than its factorization.

8122734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10809 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 8122734400 is about 90126.2137227566. The cubic root of 8122734400 is about 2010.1760033334.

The spelling of 8122734400 in words is "eight billion, one hundred twenty-two million, seven hundred thirty-four thousand, four hundred".