82507776 has 96 divisors (see below), whose sum is σ = 237116880. Its totient is φ = 25362432.

The previous prime is 82507757. The next prime is 82507793. The reversal of 82507776 is 67770528.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79356 + ... + 80388.

Almost surely, 2^82507776 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 82507776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118558440).

82507776 is an abundant number, since it is smaller than the sum of its proper divisors (154609104).

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

82507776 is a wasteful number, since it uses less digits than its factorization.

82507776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 82507776 is about 9083.3791069183. The cubic root of 82507776 is about 435.3430613867.

The spelling of 82507776 in words is "eighty-two million, five hundred seven thousand, seven hundred seventy-six".