82377216 has 160 divisors (see below), whose sum is σ = 250430400. Its totient is φ = 26726400.

The previous prime is 82377209. The next prime is 82377221. The reversal of 82377216 is 61277328.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 815566 + ... + 815666.

It is an arithmetic number, because the mean of its divisors is an integer number (1565190).

Almost surely, 2^82377216 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 82377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125215200).

82377216 is an abundant number, since it is smaller than the sum of its proper divisors (168053184).

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

82377216 is a wasteful number, since it uses less digits than its factorization.

82377216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 165 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 82377216 is about 9076.1895088192. The cubic root of 82377216 is about 435.1133117416.

The spelling of 82377216 in words is "eighty-two million, three hundred seventy-seven thousand, two hundred sixteen".