82850880 has 112 divisors (see below), whose sum is σ = 300654720. Its totient is φ = 18935808.

The previous prime is 82850869. The next prime is 82850891. The reversal of 82850880 is 8805828.

It is an interprime number because it is at equal distance from previous prime (82850869) and next prime (82850891).

It is a tau number, because it is divible by the number of its divisors (112).

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, 556 + ... + 12884.

Almost surely, 2^82850880 is an apocalyptic number.

82850880 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 82850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150327360).

82850880 is an abundant number, since it is smaller than the sum of its proper divisors (217803840).

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

82850880 is a wasteful number, since it uses less digits than its factorization.

82850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12356 (or 12346 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 82850880 is about 9102.2458767054. The cubic root of 82850880 is about 435.9456768163.

The spelling of 82850880 in words is "eighty-two million, eight hundred fifty thousand, eight hundred eighty".