8102246400 has 288 divisors, whose sum is σ = 29766063600. Its totient is φ = 2160230400.

The previous prime is 8102246389. The next prime is 8102246423. The reversal of 8102246400 is 46422018.

8102246400 is a `hidden beast` number, since 8 + 10 + 2 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 1379470 + ... + 1385330.

Almost surely, 2^8102246400 is an apocalyptic number.

8102246400 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 8102246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883031800).

8102246400 is an abundant number, since it is smaller than the sum of its proper divisors (21663817200).

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

8102246400 is a wasteful number, since it uses less digits than its factorization.

8102246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8102246400 is about 90012.4791348400. The cubic root of 8102246400 is about 2008.4844891578.

Adding to 8102246400 its reverse (46422018), we get a palindrome (8148668418).

The spelling of 8102246400 in words is "eight billion, one hundred two million, two hundred forty-six thousand, four hundred".