76768896 has 64 divisors (see below), whose sum is σ = 210528000. Its totient is φ = 24760320.

The previous prime is 76768859. The next prime is 76768921. The reversal of 76768896 is 69886767.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8680 + ... + 15128.

It is an arithmetic number, because the mean of its divisors is an integer number (3289500).

Almost surely, 2^76768896 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 76768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105264000).

76768896 is an abundant number, since it is smaller than the sum of its proper divisors (133759104).

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

76768896 is a wasteful number, since it uses less digits than its factorization.

76768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6497 (or 6485 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The square root of 76768896 is about 8761.7861192796. The cubic root of 76768896 is about 425.0060363618.

The spelling of 76768896 in words is "seventy-six million, seven hundred sixty-eight thousand, eight hundred ninety-six".