82278568080 has 60 divisors (see below), whose sum is σ = 276318860220. Its totient is φ = 21940951296.

The previous prime is 82278568061. The next prime is 82278568093. The reversal of 82278568080 is 8086587228.

82278568080 is a `hidden beast` number, since 8 + 2 + 2 + 78 + 568 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8781189264 + 73497378816 = 93708^2 + 271104^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57137175 + ... + 57138614.

It is an arithmetic number, because the mean of its divisors is an integer number (4605314337).

Almost surely, 2^82278568080 is an apocalyptic number.

82278568080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82278568080 is an abundant number, since it is smaller than the sum of its proper divisors (194040292140).

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

82278568080 is a wasteful number, since it uses less digits than its factorization.

82278568080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114275808 (or 114275799 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 82278568080 in words is "eighty-two billion, two hundred seventy-eight million, five hundred sixty-eight thousand, eighty".