82842880 has 72 divisors (see below), whose sum is σ = 201877704. Its totient is φ = 32563200.

The previous prime is 82842863. The next prime is 82842901. The reversal of 82842880 is 8824828.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 82011136 = 912^2 + 9056^2 .

It is a Harshad number since it is a multiple of its sum of digits (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, 77550 + ... + 78610.

It is an arithmetic number, because the mean of its divisors is an integer number (2803857).

Almost surely, 2^82842880 is an apocalyptic number.

82842880 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 82842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100938852).

82842880 is an abundant number, since it is smaller than the sum of its proper divisors (119034824).

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

82842880 is a wasteful number, since it uses less digits than its factorization.

82842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 82842880 is about 9101.8064141136. The cubic root of 82842880 is about 435.9316448685.

The spelling of 82842880 in words is "eighty-two million, eight hundred forty-two thousand, eight hundred eighty".