76814347356 has 120 divisors (see below), whose sum is σ = 205575505520. Its totient is φ = 25002950400.

The previous prime is 76814347333. The next prime is 76814347373. The reversal of 76814347356 is 65374341867.

It is a happy number.

76814347356 is a `hidden beast` number, since 7 + 6 + 81 + 43 + 473 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2733216 + ... + 2761176.

Almost surely, 2^76814347356 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 76814347356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102787752760).

76814347356 is an abundant number, since it is smaller than the sum of its proper divisors (128761158164).

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

76814347356 is a wasteful number, since it uses less digits than its factorization.

76814347356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28177 (or 28166 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 76814347356 in words is "seventy-six billion, eight hundred fourteen million, three hundred forty-seven thousand, three hundred fifty-six".