82677816 has 96 divisors (see below), whose sum is σ = 253890000. Its totient is φ = 24095232.

The previous prime is 82677781. The next prime is 82677823. The reversal of 82677816 is 61877628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15460 + ... + 20108.

Almost surely, 2^82677816 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 82677816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126945000).

82677816 is an abundant number, since it is smaller than the sum of its proper divisors (171212184).

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

82677816 is a wasteful number, since it uses less digits than its factorization.

82677816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4693 (or 4686 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 82677816 is about 9092.7342422398. The cubic root of 82677816 is about 435.6419218609.

The spelling of 82677816 in words is "eighty-two million, six hundred seventy-seven thousand, eight hundred sixteen".