8077656960 has 640 divisors, whose sum is σ = 31101840000. Its totient is φ = 1991651328.

The previous prime is 8077656953. The next prime is 8077656973. The reversal of 8077656960 is 696567708.

It is a happy number.

8077656960 is a `hidden beast` number, since 8 + 0 + 7 + 76 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 8077656897 and 8077656906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58112571 + ... + 58112709.

It is an arithmetic number, because the mean of its divisors is an integer number (48596625).

Almost surely, 2^8077656960 is an apocalyptic number.

8077656960 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 8077656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15550920000).

8077656960 is an abundant number, since it is smaller than the sum of its proper divisors (23024183040).

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

8077656960 is a wasteful number, since it uses less digits than its factorization.

8077656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 8077656960 is about 89875.7862830696. The cubic root of 8077656960 is about 2006.4505859364.

The spelling of 8077656960 in words is "eight billion, seventy-seven million, six hundred fifty-six thousand, nine hundred sixty".