76788096 has 256 divisors, whose sum is σ = 264384000. Its totient is φ = 19568640.

The previous prime is 76788091. The next prime is 76788109. The reversal of 76788096 is 69088767.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76788091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448806 + ... + 1448858.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 2^76788096 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 76788096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

76788096 is an abundant number, since it is smaller than the sum of its proper divisors (187595904).

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

76788096 is a wasteful number, since it uses less digits than its factorization.

76788096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 76788096 is about 8762.8817177912. The cubic root of 76788096 is about 425.0414649278.

The spelling of 76788096 in words is "seventy-six million, seven hundred eighty-eight thousand, ninety-six".