82706880 has 112 divisors (see below), whose sum is σ = 265505184. Its totient is φ = 21811200.

The previous prime is 82706863. The next prime is 82706893. The reversal of 82706880 is 8860728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96534 + ... + 97386.

It is an arithmetic number, because the mean of its divisors is an integer number (2370582).

Almost surely, 2^82706880 is an apocalyptic number.

82706880 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 82706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132752592).

82706880 is an abundant number, since it is smaller than the sum of its proper divisors (182798304).

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

82706880 is a wasteful number, since it uses less digits than its factorization.

82706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 82706880 is about 9094.3323009444. The cubic root of 82706880 is about 435.6929634183.

The spelling of 82706880 in words is "eighty-two million, seven hundred six thousand, eight hundred eighty".