82372780 has 48 divisors (see below), whose sum is σ = 200503296. Its totient is φ = 27840960.

The previous prime is 82372751. The next prime is 82372781. The reversal of 82372780 is 8727328.

82372780 is nontrivially palindromic in base 9.

It is not an unprimeable number, because it can be changed into a prime (82372781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5797 + ... + 14083.

It is an arithmetic number, because the mean of its divisors is an integer number (4177152).

Almost surely, 2^82372780 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 82372780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100251648).

82372780 is an abundant number, since it is smaller than the sum of its proper divisors (118130516).

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

82372780 is a wasteful number, since it uses less digits than its factorization.

82372780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374 (or 8372 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 82372780 is about 9075.9451298474. The cubic root of 82372780 is about 435.1055013405.

The spelling of 82372780 in words is "eighty-two million, three hundred seventy-two thousand, seven hundred eighty".