816982782 has 128 divisors (see below), whose sum is σ = 2101248000. Its totient is φ = 209916000.

The previous prime is 816982781. The next prime is 816982783. The reversal of 816982782 is 287289618.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (816982781) and next prime (816982783).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816982781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3418219 + ... + 3418457.

It is an arithmetic number, because the mean of its divisors is an integer number (16416000).

Almost surely, 2^816982782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816982782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050624000).

816982782 is an abundant number, since it is smaller than the sum of its proper divisors (1284265218).

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

816982782 is a wasteful number, since it uses less digits than its factorization.

816982782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The square root of 816982782 is about 28582.9106635416. The cubic root of 816982782 is about 934.8407488029.

It can be divided in two parts, 8169 and 82782, that added together give a triangular number (90951 = T₄₂₆).

The spelling of 816982782 in words is "eight hundred sixteen million, nine hundred eighty-two thousand, seven hundred eighty-two".