82507716 has 72 divisors (see below), whose sum is σ = 219046464. Its totient is φ = 26136000.

The previous prime is 82507699. The next prime is 82507721. The reversal of 82507716 is 61770528.

82507716 is a `hidden beast` number, since 82 + 507 + 71 + 6 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207630 + ... + 208026.

It is an arithmetic number, because the mean of its divisors is an integer number (3042312).

Almost surely, 2^82507716 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 82507716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109523232).

82507716 is an abundant number, since it is smaller than the sum of its proper divisors (136538748).

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

82507716 is a wasteful number, since it uses less digits than its factorization.

82507716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 82507716 is about 9083.3758041821. The cubic root of 82507716 is about 435.3429558590.

The spelling of 82507716 in words is "eighty-two million, five hundred seven thousand, seven hundred sixteen".