82702884 has 48 divisors (see below), whose sum is σ = 211498560. Its totient is φ = 24944640.

The previous prime is 82702883. The next prime is 82702901. The reversal of 82702884 is 48820728.

It is not an unprimeable number, because it can be changed into a prime (82702883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29412 + ... + 32100.

It is an arithmetic number, because the mean of its divisors is an integer number (4406220).

Almost surely, 2^82702884 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 82702884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105749280).

82702884 is an abundant number, since it is smaller than the sum of its proper divisors (128795676).

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

82702884 is a wasteful number, since it uses less digits than its factorization.

82702884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 82702884 is about 9094.1126010183. The cubic root of 82702884 is about 435.6859464401.

The spelling of 82702884 in words is "eighty-two million, seven hundred two thousand, eight hundred eighty-four".