76873095936 has 432 divisors, whose sum is σ = 275035930624. Its totient is φ = 20107616256.

The previous prime is 76873095883. The next prime is 76873095941. The reversal of 76873095936 is 63959037867.

76873095936 is a `hidden beast` number, since 7 + 6 + 8 + 7 + 30 + 9 + 593 + 6 = 666.

It is a super-3 number, since 3×76873095936³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26625885 + ... + 26628771.

Almost surely, 2^76873095936 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 76873095936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137517965312).

76873095936 is an abundant number, since it is smaller than the sum of its proper divisors (198162834688).

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

76873095936 is a wasteful number, since it uses less digits than its factorization.

76873095936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 76873095936 in words is "seventy-six billion, eight hundred seventy-three million, ninety-five thousand, nine hundred thirty-six".