82702440 has 192 divisors, whose sum is σ = 288100800. Its totient is φ = 20514816.

The previous prime is 82702439. The next prime is 82702441. The reversal of 82702440 is 4420728.

It is an interprime number because it is at equal distance from previous prime (82702439) and next prime (82702441).

It is not an unprimeable number, because it can be changed into a prime (82702441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731824 + ... + 731936.

It is an arithmetic number, because the mean of its divisors is an integer number (1500525).

Almost surely, 2^82702440 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 82702440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144050400).

82702440 is an abundant number, since it is smaller than the sum of its proper divisors (205398360).

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

82702440 is a wasteful number, since it uses less digits than its factorization.

82702440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 82702440 is about 9094.0881895878. The cubic root of 82702440 is about 435.6851667619.

The spelling of 82702440 in words is "eighty-two million, seven hundred two thousand, four hundred forty".