76765776 has 80 divisors (see below), whose sum is σ = 213944640. Its totient is φ = 23639040.

The previous prime is 76765753. The next prime is 76765807. The reversal of 76765776 is 67756767.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 36366 + ... + 38418.

It is an arithmetic number, because the mean of its divisors is an integer number (2674308).

Almost surely, 2^76765776 is an apocalyptic number.

76765776 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76765776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106972320).

76765776 is an abundant number, since it is smaller than the sum of its proper divisors (137178864).

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

76765776 is a wasteful number, since it uses less digits than its factorization.

76765776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2118 counting only the distinct ones).

The product of its digits is 2593080, while the sum is 51.

The square root of 76765776 is about 8761.6080715814. The cubic root of 76765776 is about 425.0002786619. Note that the first 3 decimals are identical.

Subtracting from 76765776 its reverse (67756767), we obtain a palindrome (9009009).

The spelling of 76765776 in words is "seventy-six million, seven hundred sixty-five thousand, seven hundred seventy-six".