82820820 has 96 divisors (see below), whose sum is σ = 240299136. Its totient is φ = 21299200.

The previous prime is 82820813. The next prime is 82820833. The reversal of 82820820 is 2802828.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322132 + ... + 322388.

It is an arithmetic number, because the mean of its divisors is an integer number (2503116).

Almost surely, 2^82820820 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 82820820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120149568).

82820820 is an abundant number, since it is smaller than the sum of its proper divisors (157478316).

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

82820820 is a wasteful number, since it uses less digits than its factorization.

82820820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 82820820 is about 9100.5944860762. The cubic root of 82820820 is about 435.8929470919.

The spelling of 82820820 in words is "eighty-two million, eight hundred twenty thousand, eight hundred twenty".