76769609868 has 288 divisors, whose sum is σ = 253063802880. Its totient is φ = 19977269760.

The previous prime is 76769609867. The next prime is 76769609879. The reversal of 76769609868 is 86890696767.

76769609868 is a `hidden beast` number, since 7 + 6 + 7 + 6 + 9 + 609 + 8 + 6 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76769609796 and 76769609805.

It is not an unprimeable number, because it can be changed into a prime (76769609867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2775121 + ... + 2802647.

It is an arithmetic number, because the mean of its divisors is an integer number (878693760).

Almost surely, 2^76769609868 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 76769609868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126531901440).

76769609868 is an abundant number, since it is smaller than the sum of its proper divisors (176294193012).

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

76769609868 is a wasteful number, since it uses less digits than its factorization.

76769609868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27602 (or 27587 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 76769609868 in words is "seventy-six billion, seven hundred sixty-nine million, six hundred nine thousand, eight hundred sixty-eight".