76788768 has 48 divisors (see below), whose sum is σ = 230368320. Its totient is φ = 21939456.

The previous prime is 76788749. The next prime is 76788769. The reversal of 76788768 is 86788767.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (76788769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56463 + ... + 57806.

It is an arithmetic number, because the mean of its divisors is an integer number (4799340).

Almost surely, 2^76788768 is an apocalyptic number.

It is an amenable number.

76788768 is an abundant number, since it is smaller than the sum of its proper divisors (153579552).

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

76788768 is a wasteful number, since it uses less digits than its factorization.

76788768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114289 (or 114281 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 57.

The square root of 76788768 is about 8762.9200612581. The cubic root of 76788768 is about 425.0427048207.

Subtracting 76788768 from its reverse (86788767), we obtain a palindrome (9999999).

The spelling of 76788768 in words is "seventy-six million, seven hundred eighty-eight thousand, seven hundred sixty-eight".