82071080 has 96 divisors (see below), whose sum is σ = 231404040. Its totient is φ = 25966080.

The previous prime is 82071049. The next prime is 82071091. The reversal of 82071080 is 8017028.

It can be written as a sum of positive squares in 4 ways, for example, as 62125924 + 19945156 = 7882^2 + 4466^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23870 + ... + 27090.

Almost surely, 2^82071080 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 82071080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115702020).

82071080 is an abundant number, since it is smaller than the sum of its proper divisors (149332960).

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

82071080 is a wasteful number, since it uses less digits than its factorization.

82071080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 82071080 is about 9059.3090244234. The cubic root of 82071080 is about 434.5736431133.

The spelling of 82071080 in words is "eighty-two million, seventy-one thousand, eighty".