82270080 has 288 divisors, whose sum is σ = 307976760. Its totient is φ = 20984832.

The previous prime is 82270079. The next prime is 82270091. The reversal of 82270080 is 8007228.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3576949 + ... + 3576971.

Almost surely, 2^82270080 is an apocalyptic number.

82270080 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 82270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153988380).

82270080 is an abundant number, since it is smaller than the sum of its proper divisors (225706680).

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

82270080 is an equidigital number, since it uses as much as digits as its factorization.

82270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 82270080 is about 9070.2855522856. The cubic root of 82270080 is about 434.9246004869.

The spelling of 82270080 in words is "eighty-two million, two hundred seventy thousand, eighty".