76686336 has 132 divisors (see below), whose sum is σ = 227045052. Its totient is φ = 24920064.

The previous prime is 76686287. The next prime is 76686341. The reversal of 76686336 is 63368667.

76686336 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 633 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38937600 + 37748736 = 6240^2 + 6144^2 .

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 76686291 and 76686300.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488370 + ... + 488526.

Almost surely, 2^76686336 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 76686336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113522526).

76686336 is an abundant number, since it is smaller than the sum of its proper divisors (150358716).

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

76686336 is a wasteful number, since it uses less digits than its factorization.

76686336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 76686336 is about 8757.0734837616. The cubic root of 76686336 is about 424.8536261793.

The spelling of 76686336 in words is "seventy-six million, six hundred eighty-six thousand, three hundred thirty-six".