76335768 has 96 divisors (see below), whose sum is σ = 223095600. Its totient is φ = 23500800.

The previous prime is 76335761. The next prime is 76335839. The reversal of 76335768 is 86753367.

76335768 is a `hidden beast` number, since 7 + 633 + 5 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×76335768² = 11654298952299648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76335761) 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 23 ways as a sum of consecutive naturals, for example, 55408 + ... + 56768.

Almost surely, 2^76335768 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 76335768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111547800).

76335768 is an abundant number, since it is smaller than the sum of its proper divisors (146759832).

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

76335768 is a wasteful number, since it uses less digits than its factorization.

76335768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1426 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 76335768 is about 8737.0342794337. The cubic root of 76335768 is about 424.2052376505.

The spelling of 76335768 in words is "seventy-six million, three hundred thirty-five thousand, seven hundred sixty-eight".