8126102400 has 768 divisors, whose sum is σ = 31872960000. Its totient is φ = 1800437760.

The previous prime is 8126102363. The next prime is 8126102401. The reversal of 8126102400 is 42016218.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8126102401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54537526 + ... + 54537674.

It is an arithmetic number, because the mean of its divisors is an integer number (41501250).

Almost surely, 2^8126102400 is an apocalyptic number.

8126102400 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 8126102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480000).

8126102400 is an abundant number, since it is smaller than the sum of its proper divisors (23746857600).

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

8126102400 is a wasteful number, since it uses less digits than its factorization.

8126102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8126102400 is about 90144.8966941557. The cubic root of 8126102400 is about 2010.4537971946.

Adding to 8126102400 its reverse (42016218), we get a palindrome (8168118618).

The spelling of 8126102400 in words is "eight billion, one hundred twenty-six million, one hundred two thousand, four hundred".