8007861960 has 256 divisors, whose sum is σ = 30715200000. Its totient is φ = 1817828352.

The previous prime is 8007861949. The next prime is 8007861977. The reversal of 8007861960 is 691687008.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1122886 + ... + 1129994.

It is an arithmetic number, because the mean of its divisors is an integer number (119981250).

Almost surely, 2^8007861960 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 8007861960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15357600000).

8007861960 is an abundant number, since it is smaller than the sum of its proper divisors (22707338040).

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

8007861960 is a wasteful number, since it uses less digits than its factorization.

8007861960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7285 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 8007861960 is about 89486.6579999499. The cubic root of 8007861960 is about 2000.6549488309.

The spelling of 8007861960 in words is "eight billion, seven million, eight hundred sixty-one thousand, nine hundred sixty".