8086767840 has 672 divisors, whose sum is σ = 31234442400. Its totient is φ = 1970749440.

The previous prime is 8086767839. The next prime is 8086767883. The reversal of 8086767840 is 487676808.

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

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 90862516 + ... + 90862604.

It is an arithmetic number, because the mean of its divisors is an integer number (46479825).

Almost surely, 2^8086767840 is an apocalyptic number.

8086767840 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 8086767840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15617221200).

8086767840 is an abundant number, since it is smaller than the sum of its proper divisors (23147674560).

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

8086767840 is a wasteful number, since it uses less digits than its factorization.

8086767840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 8086767840 is about 89926.4579531519. The cubic root of 8086767840 is about 2007.2046685444.

The spelling of 8086767840 in words is "eight billion, eighty-six million, seven hundred sixty-seven thousand, eight hundred forty".