8178956720 has 80 divisors (see below), whose sum is σ = 20763090720. Its totient is φ = 2971545600.

The previous prime is 8178956707. The next prime is 8178956729. The reversal of 8178956720 is 276598718.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (8178956729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1194266 + ... + 1201094.

It is an arithmetic number, because the mean of its divisors is an integer number (259538634).

Almost surely, 2^8178956720 is an apocalyptic number.

8178956720 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 8178956720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10381545360).

8178956720 is an abundant number, since it is smaller than the sum of its proper divisors (12584134000).

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

8178956720 is a wasteful number, since it uses less digits than its factorization.

8178956720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8214 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 53.

The square root of 8178956720 is about 90437.5846647841. The cubic root of 8178956720 is about 2014.8032219836.

The spelling of 8178956720 in words is "eight billion, one hundred seventy-eight million, nine hundred fifty-six thousand, seven hundred twenty".