82766430 has 48 divisors (see below), whose sum is σ = 215957664. Its totient is φ = 21992640.

The previous prime is 82766423. The next prime is 82766441. The reversal of 82766430 is 3466728.

82766430 is a `hidden beast` number, since 8 + 2 + 7 + 6 + 643 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26512 + ... + 29468.

It is an arithmetic number, because the mean of its divisors is an integer number (4499118).

Almost surely, 2^82766430 is an apocalyptic number.

82766430 is an abundant number, since it is smaller than the sum of its proper divisors (133191234).

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

82766430 is a wasteful number, since it uses less digits than its factorization.

82766430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 82766430 is about 9097.6057289817. The cubic root of 82766430 is about 435.7975064802.

It can be divided in two parts, 8276 and 6430, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 82766430 in words is "eighty-two million, seven hundred sixty-six thousand, four hundred thirty".