82806080 has 84 divisors (see below), whose sum is σ = 229418388. Its totient is φ = 28385280.

The previous prime is 82806013. The next prime is 82806109. The reversal of 82806080 is 8060828.

It can be written as a sum of positive squares in 2 ways, for example, as 19571776 + 63234304 = 4424^2 + 7952^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 13040 + ... + 18320.

Almost surely, 2^82806080 is an apocalyptic number.

82806080 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 82806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114709194).

82806080 is an abundant number, since it is smaller than the sum of its proper divisors (146612308).

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

82806080 is a wasteful number, since it uses less digits than its factorization.

82806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 82806080 is about 9099.7846128356. The cubic root of 82806080 is about 435.8670862707.

The spelling of 82806080 in words is "eighty-two million, eight hundred six thousand, eighty".