82738820 has 72 divisors (see below), whose sum is σ = 187572672. Its totient is φ = 30595840.

The previous prime is 82738793. The next prime is 82738823. The reversal of 82738820 is 2883728.

It is not an unprimeable number, because it can be changed into a prime (82738823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773207 + ... + 773313.

It is an arithmetic number, because the mean of its divisors is an integer number (2605176).

Almost surely, 2^82738820 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 82738820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93786336).

82738820 is an abundant number, since it is smaller than the sum of its proper divisors (104833852).

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

82738820 is a wasteful number, since it uses less digits than its factorization.

82738820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 82738820 is about 9096.0881701971. The cubic root of 82738820 is about 435.7490419543.

The spelling of 82738820 in words is "eighty-two million, seven hundred thirty-eight thousand, eight hundred twenty".