8124768400 has 360 divisors, whose sum is σ = 24136937280. Its totient is φ = 2614993920.

The previous prime is 8124768359. The next prime is 8124768409. The reversal of 8124768400 is 48674218.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8124768409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30203466 + ... + 30203734.

It is an arithmetic number, because the mean of its divisors is an integer number (67047048).

Almost surely, 2^8124768400 is an apocalyptic number.

8124768400 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 8124768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068468640).

8124768400 is an abundant number, since it is smaller than the sum of its proper divisors (16012168880).

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

8124768400 is a wasteful number, since it uses less digits than its factorization.

8124768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 8124768400 is about 90137.4971917903. The cubic root of 8124768400 is about 2010.3437775728.

The spelling of 8124768400 in words is "eight billion, one hundred twenty-four million, seven hundred sixty-eight thousand, four hundred".