8052295680 has 864 divisors, whose sum is σ = 33668369280. Its totient is φ = 1763573760.

The previous prime is 8052295673. The next prime is 8052295739. The reversal of 8052295680 is 865922508.

8052295680 is a `hidden beast` number, since 80 + 5 + 2 + 2 + 9 + 568 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171325417 + ... + 171325463.

It is an arithmetic number, because the mean of its divisors is an integer number (38968020).

Almost surely, 2^8052295680 is an apocalyptic number.

8052295680 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 8052295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16834184640).

8052295680 is an abundant number, since it is smaller than the sum of its proper divisors (25616073600).

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

8052295680 is a wasteful number, since it uses less digits than its factorization.

8052295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 8052295680 is about 89734.5846371398. The cubic root of 8052295680 is about 2004.3485117039.

The spelling of 8052295680 in words is "eight billion, fifty-two million, two hundred ninety-five thousand, six hundred eighty".