76709977968 has 160 divisors (see below), whose sum is σ = 221371220224. Its totient is φ = 22737770496.

The previous prime is 76709977961. The next prime is 76709977991. The reversal of 76709977968 is 86977990767.

It is a self number, because there is not a number n which added to its sum of digits gives 76709977968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76709977961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1939155 + ... + 1978317.

Almost surely, 2^76709977968 is an apocalyptic number.

76709977968 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 76709977968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110685610112).

76709977968 is an abundant number, since it is smaller than the sum of its proper divisors (144661242256).

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

76709977968 is a wasteful number, since it uses less digits than its factorization.

76709977968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39303 (or 39297 counting only the distinct ones).

The product of its (nonzero) digits is 504094752, while the sum is 75.

The spelling of 76709977968 in words is "seventy-six billion, seven hundred nine million, nine hundred seventy-seven thousand, nine hundred sixty-eight".