82855080 has 384 divisors, whose sum is σ = 348192000. Its totient is φ = 16934400.

The previous prime is 82855037. The next prime is 82855111. The reversal of 82855080 is 8055828.

82855080 is a `hidden beast` number, since 8 + 28 + 550 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1358250 + ... + 1358310.

It is an arithmetic number, because the mean of its divisors is an integer number (906750).

Almost surely, 2^82855080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82855080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096000).

82855080 is an abundant number, since it is smaller than the sum of its proper divisors (265336920).

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

82855080 is a wasteful number, since it uses less digits than its factorization.

82855080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 82855080 is about 9102.4765860726. The cubic root of 82855080 is about 435.9530432274.

The spelling of 82855080 in words is "eighty-two million, eight hundred fifty-five thousand, eighty".