82772320 has 48 divisors (see below), whose sum is σ = 207059328. Its totient is φ = 31160320.

The previous prime is 82772281. The next prime is 82772323. The reversal of 82772320 is 2327728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82772323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12496 + ... + 17935.

It is an arithmetic number, because the mean of its divisors is an integer number (4313736).

Almost surely, 2^82772320 is an apocalyptic number.

82772320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82772320 is an abundant number, since it is smaller than the sum of its proper divisors (124287008).

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

82772320 is a wasteful number, since it uses less digits than its factorization.

82772320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30463 (or 30455 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 82772320 is about 9097.9294347670. The cubic root of 82772320 is about 435.8078439500.

The spelling of 82772320 in words is "eighty-two million, seven hundred seventy-two thousand, three hundred twenty".