76682736 has 180 divisors, whose sum is σ = 244256688. Its totient is φ = 22404096.

The previous prime is 76682731. The next prime is 76682737. The reversal of 76682736 is 63728667.

It is a junction number, because it is equal to n+sod(n) for n = 76682691 and 76682700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76682731) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 559660 + ... + 559796.

Almost surely, 2^76682736 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 76682736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122128344).

76682736 is an abundant number, since it is smaller than the sum of its proper divisors (167573952).

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

76682736 is a wasteful number, since it uses less digits than its factorization.

76682736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 76682736 is about 8756.8679332282. The cubic root of 76682736 is about 424.8469778980.

It can be divided in two parts, 7668 and 2736, that added together give a square (10404 = 102²).

The spelling of 76682736 in words is "seventy-six million, six hundred eighty-two thousand, seven hundred thirty-six".