82363776 has 256 divisors, whose sum is σ = 267909120. Its totient is φ = 22118400.

The previous prime is 82363753. The next prime is 82363781. The reversal of 82363776 is 67736328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2226030 + ... + 2226066.

It is an arithmetic number, because the mean of its divisors is an integer number (1046520).

Almost surely, 2^82363776 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 82363776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133954560).

82363776 is an abundant number, since it is smaller than the sum of its proper divisors (185545344).

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

82363776 is a wasteful number, since it uses less digits than its factorization.

82363776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 82363776 is about 9075.4490797976. The cubic root of 82363776 is about 435.0896472656.

The spelling of 82363776 in words is "eighty-two million, three hundred sixty-three thousand, seven hundred seventy-six".