82680768 has 126 divisors (see below), whose sum is σ = 250463304. Its totient is φ = 26028288.

The previous prime is 82680757. The next prime is 82680779. The reversal of 82680768 is 86708628.

It is an interprime number because it is at equal distance from previous prime (82680757) and next prime (82680779).

It is a super-2 number, since 2×82680768² = 13672218794139648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1046553 + ... + 1046631.

It is an arithmetic number, because the mean of its divisors is an integer number (1987804).

Almost surely, 2^82680768 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 82680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125231652).

82680768 is an abundant number, since it is smaller than the sum of its proper divisors (167782536).

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

82680768 is a wasteful number, since it uses less digits than its factorization.

82680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 82680768 is about 9092.8965682009. The cubic root of 82680768 is about 435.6471066441.

The spelling of 82680768 in words is "eighty-two million, six hundred eighty thousand, seven hundred sixty-eight".