8079767280 has 320 divisors, whose sum is σ = 30168069120. Its totient is φ = 1975809024.

The previous prime is 8079767257. The next prime is 8079767287. The reversal of 8079767280 is 827679708.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8079767287) 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 63 ways as a sum of consecutive naturals, for example, 4688499 + ... + 4690221.

It is an arithmetic number, because the mean of its divisors is an integer number (94275216).

Almost surely, 2^8079767280 is an apocalyptic number.

8079767280 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 8079767280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15084034560).

8079767280 is an abundant number, since it is smaller than the sum of its proper divisors (22088301840).

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

8079767280 is a wasteful number, since it uses less digits than its factorization.

8079767280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 8079767280 is about 89887.5257196459. The cubic root of 8079767280 is about 2006.6253017869.

The spelling of 8079767280 in words is "eight billion, seventy-nine million, seven hundred sixty-seven thousand, two hundred eighty".