8124100800 has 168 divisors, whose sum is σ = 27304575312. Its totient is φ = 2113536000.

The previous prime is 8124100781. The next prime is 8124100819. The reversal of 8124100800 is 80014218.

It is an interprime number because it is at equal distance from previous prime (8124100781) and next prime (8124100819).

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

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, 176160 + ... + 217440.

It is an arithmetic number, because the mean of its divisors is an integer number (162527234).

Almost surely, 2^8124100800 is an apocalyptic number.

8124100800 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 8124100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13652287656).

8124100800 is an abundant number, since it is smaller than the sum of its proper divisors (19180474512).

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

8124100800 is a wasteful number, since it uses less digits than its factorization.

8124100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41347 (or 41332 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 8124100800 is about 90133.7938844249. The cubic root of 8124100800 is about 2010.2887137564.

The spelling of 8124100800 in words is "eight billion, one hundred twenty-four million, one hundred thousand, eight hundred".