8107041600 has 1344 divisors, whose sum is σ = 38097561600. Its totient is φ = 1632337920.

The previous prime is 8107041589. The next prime is 8107041623. The reversal of 8107041600 is 61407018.

It is a happy number.

8107041600 is a `hidden beast` number, since 8 + 10 + 7 + 0 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97675159 + ... + 97675241.

It is an arithmetic number, because the mean of its divisors is an integer number (28346400).

Almost surely, 2^8107041600 is an apocalyptic number.

8107041600 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 8107041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19048780800).

8107041600 is an abundant number, since it is smaller than the sum of its proper divisors (29990520000).

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

8107041600 is a wasteful number, since it uses less digits than its factorization.

8107041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 8107041600 is about 90039.1115016136. Note that the first 3 decimals coincide. The cubic root of 8107041600 is about 2008.8806420667.

Adding to 8107041600 its reverse (61407018), we get a palindrome (8168448618).

The spelling of 8107041600 in words is "eight billion, one hundred seven million, forty-one thousand, six hundred".