76677768 has 96 divisors (see below), whose sum is σ = 228196800. Its totient is φ = 23151744.

The previous prime is 76677763. The next prime is 76677773. The reversal of 76677768 is 86777667.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76677763) and next prime (76677773).

It is not an unprimeable number, because it can be changed into a prime (76677761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30246 + ... + 32682.

It is an arithmetic number, because the mean of its divisors is an integer number (2377050).

Almost surely, 2^76677768 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 76677768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114098400).

76677768 is an abundant number, since it is smaller than the sum of its proper divisors (151519032).

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

76677768 is a wasteful number, since it uses less digits than its factorization.

76677768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2484 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The square root of 76677768 is about 8756.5842655684. The cubic root of 76677768 is about 424.8378029282.

The spelling of 76677768 in words is "seventy-six million, six hundred seventy-seven thousand, seven hundred sixty-eight".