82764360 has 96 divisors (see below), whose sum is σ = 307419840. Its totient is φ = 18916992.

The previous prime is 82764317. The next prime is 82764371. The reversal of 82764360 is 6346728.

82764360 is a `hidden beast` number, since 8 + 2 + 7 + 643 + 6 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13902 + ... + 18941.

It is an arithmetic number, because the mean of its divisors is an integer number (3202290).

Almost surely, 2^82764360 is an apocalyptic number.

It is an amenable number.

82764360 is an abundant number, since it is smaller than the sum of its proper divisors (224655480).

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

82764360 is a wasteful number, since it uses less digits than its factorization.

82764360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32867 (or 32860 counting only the distinct ones).

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

The square root of 82764360 is about 9097.4919620739. The cubic root of 82764360 is about 435.7938733310.

The spelling of 82764360 in words is "eighty-two million, seven hundred sixty-four thousand, three hundred sixty".