82288080 has 240 divisors, whose sum is σ = 327300480. Its totient is φ = 18127872.

The previous prime is 82288061. The next prime is 82288093. The reversal of 82288080 is 8088228.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×82288080² = 13542656220172800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145879 + ... + 146441.

It is an arithmetic number, because the mean of its divisors is an integer number (1363752).

Almost surely, 2^82288080 is an apocalyptic number.

82288080 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 82288080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163650240).

82288080 is an abundant number, since it is smaller than the sum of its proper divisors (245012400).

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

82288080 is a wasteful number, since it uses less digits than its factorization.

82288080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 82288080 is about 9071.2777490274. The cubic root of 82288080 is about 434.9563174526.

The spelling of 82288080 in words is "eighty-two million, two hundred eighty-eight thousand, eighty".