76123127808 has 960 divisors, whose sum is σ = 291243581440. Its totient is φ = 19110297600.

The previous prime is 76123127803. The next prime is 76123127813. The reversal of 76123127808 is 80872132167.

76123127808 is a `hidden beast` number, since 7 + 612 + 3 + 1 + 27 + 8 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (76123127803) and next prime (76123127813).

It is a super-3 number, since 3×76123127808³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (76123127803) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1247920098 + ... + 1247920158.

Almost surely, 2^76123127808 is an apocalyptic number.

76123127808 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76123127808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145621790720).

76123127808 is an abundant number, since it is smaller than the sum of its proper divisors (215120453632).

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

76123127808 is a wasteful number, since it uses less digits than its factorization.

76123127808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 76123127808 in words is "seventy-six billion, one hundred twenty-three million, one hundred twenty-seven thousand, eight hundred eight".