8077829760 has 1024 divisors, whose sum is σ = 38494310400. Its totient is φ = 1546076160.

The previous prime is 8077829759. The next prime is 8077829761. The reversal of 8077829760 is 679287708.

It is an interprime number because it is at equal distance from previous prime (8077829759) and next prime (8077829761).

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 = 8077829697 and 8077829706.

It is not an unprimeable number, because it can be changed into a prime (8077829761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17297047 + ... + 17297513.

It is an arithmetic number, because the mean of its divisors is an integer number (37592100).

Almost surely, 2^8077829760 is an apocalyptic number.

8077829760 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 8077829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247155200).

8077829760 is an abundant number, since it is smaller than the sum of its proper divisors (30416480640).

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

8077829760 is a wasteful number, since it uses less digits than its factorization.

8077829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 508 counting only the distinct ones).

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

The square root of 8077829760 is about 89876.7476047059. The cubic root of 8077829760 is about 2006.4648933934.

The spelling of 8077829760 in words is "eight billion, seventy-seven million, eight hundred twenty-nine thousand, seven hundred sixty".