8113787820 has 240 divisors, whose sum is σ = 26202385440. Its totient is φ = 2100639744.

The previous prime is 8113787813. The next prime is 8113787827. The reversal of 8113787820 is 287873118.

It is an interprime number because it is at equal distance from previous prime (8113787813) and next prime (8113787827).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8113787827) 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 79 ways as a sum of consecutive naturals, for example, 18738324 + ... + 18738756.

It is an arithmetic number, because the mean of its divisors is an integer number (109176606).

Almost surely, 2^8113787820 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 8113787820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13101192720).

8113787820 is an abundant number, since it is smaller than the sum of its proper divisors (18088597620).

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

8113787820 is a wasteful number, since it uses less digits than its factorization.

8113787820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 8113787820 is about 90076.5664310091. The cubic root of 8113787820 is about 2009.4377130676.

The spelling of 8113787820 in words is "eight billion, one hundred thirteen million, seven hundred eighty-seven thousand, eight hundred twenty".