76762772856 has 192 divisors, whose sum is σ = 259341937920. Its totient is φ = 19927388160.

The previous prime is 76762772839. The next prime is 76762772887. The reversal of 76762772856 is 65827726767.

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

It is a junction number, because it is equal to n+sod(n) for n = 76762772793 and 76762772802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16424536 + ... + 16429208.

It is an arithmetic number, because the mean of its divisors is an integer number (1350739260).

Almost surely, 2^76762772856 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 76762772856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129670968960).

76762772856 is an abundant number, since it is smaller than the sum of its proper divisors (182579165064).

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

76762772856 is a wasteful number, since it uses less digits than its factorization.

76762772856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666 (or 7659 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 63.

The spelling of 76762772856 in words is "seventy-six billion, seven hundred sixty-two million, seven hundred seventy-two thousand, eight hundred fifty-six".