8207081400 has 192 divisors, whose sum is σ = 29253127680. Its totient is φ = 1864512000.

The previous prime is 8207081383. The next prime is 8207081401. The reversal of 8207081400 is 41807028.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8207081401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 695550 + ... + 707250.

It is an arithmetic number, because the mean of its divisors is an integer number (152360040).

Almost surely, 2^8207081400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8207081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14626563840).

8207081400 is an abundant number, since it is smaller than the sum of its proper divisors (21046046280).

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

8207081400 is a wasteful number, since it uses less digits than its factorization.

8207081400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11894 (or 11885 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 8207081400 is about 90592.9434338017. The cubic root of 8207081400 is about 2017.1099900388.

Adding to 8207081400 its reverse (41807028), we get a palindrome (8248888428).

The spelling of 8207081400 in words is "eight billion, two hundred seven million, eighty-one thousand, four hundred".