76956665968 has 160 divisors (see below), whose sum is σ = 197496109440. Its totient is φ = 28183265280.

The previous prime is 76956665963. The next prime is 76956665969. The reversal of 76956665968 is 86956665967.

It is a self number, because there is not a number n which added to its sum of digits gives 76956665968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76956665963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1484388 + ... + 1535356.

It is an arithmetic number, because the mean of its divisors is an integer number (1234350684).

Almost surely, 2^76956665968 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 76956665968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98748054720).

76956665968 is an abundant number, since it is smaller than the sum of its proper divisors (120539443472).

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

76956665968 is a wasteful number, since it uses less digits than its factorization.

76956665968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51075 (or 51069 counting only the distinct ones).

The product of its digits is 881798400, while the sum is 73.

Subtracting 76956665968 from its reverse (86956665967), we obtain a palindrome (9999999999).

The spelling of 76956665968 in words is "seventy-six billion, nine hundred fifty-six million, six hundred sixty-five thousand, nine hundred sixty-eight".