82857680 has 40 divisors (see below), whose sum is σ = 193038984. Its totient is φ = 33075200.

The previous prime is 82857667. The next prime is 82857713. The reversal of 82857680 is 8675828.

It can be written as a sum of positive squares in 4 ways, for example, as 4145296 + 78712384 = 2036^2 + 8872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60200 + ... + 61560.

Almost surely, 2^82857680 is an apocalyptic number.

82857680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82857680 is an abundant number, since it is smaller than the sum of its proper divisors (110181304).

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

82857680 is a wasteful number, since it uses less digits than its factorization.

82857680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 82857680 is about 9102.6194032267. The cubic root of 82857680 is about 435.9576032618.

The spelling of 82857680 in words is "eighty-two million, eight hundred fifty-seven thousand, six hundred eighty".