8077659120 has 160 divisors (see below), whose sum is σ = 28036419840. Its totient is φ = 2137524480.

The previous prime is 8077659097. The next prime is 8077659127. The reversal of 8077659120 is 219567708.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8077659127) 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 31 ways as a sum of consecutive naturals, for example, 268687 + ... + 297233.

It is an arithmetic number, because the mean of its divisors is an integer number (175227624).

Almost surely, 2^8077659120 is an apocalyptic number.

8077659120 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 8077659120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018209920).

8077659120 is an abundant number, since it is smaller than the sum of its proper divisors (19958760720).

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

8077659120 is a wasteful number, since it uses less digits than its factorization.

8077659120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28700 (or 28688 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 8077659120 is about 89875.7982996535. The cubic root of 8077659120 is about 2006.4507647809.

The spelling of 8077659120 in words is "eight billion, seventy-seven million, six hundred fifty-nine thousand, one hundred twenty".