8187678720 has 832 divisors, whose sum is σ = 33686634240. Its totient is φ = 1868562432.

The previous prime is 8187678679. The next prime is 8187678767. The reversal of 8187678720 is 278767818.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122204127 + ... + 122204193.

Almost surely, 2^8187678720 is an apocalyptic number.

8187678720 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 8187678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16843317120).

8187678720 is an abundant number, since it is smaller than the sum of its proper divisors (25498955520).

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

8187678720 is a wasteful number, since it uses less digits than its factorization.

8187678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The square root of 8187678720 is about 90485.7929180045. The cubic root of 8187678720 is about 2015.5191596993.

The spelling of 8187678720 in words is "eight billion, one hundred eighty-seven million, six hundred seventy-eight thousand, seven hundred twenty".