768977214777072 has 2560 divisors, whose sum is σ = 2902163049676800. Its totient is φ = 189858816000000.

The previous prime is 768977214777047. The next prime is 768977214777091. The reversal of 768977214777072 is 270777412779867.

768977214777072 is a `hidden beast` number, since 7 + 6 + 8 + 9 + 7 + 7 + 2 + 1 + 477 + 70 + 72 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 768977214776982 and 768977214777000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 704837043247 + ... + 704837044337.

It is an arithmetic number, because the mean of its divisors is an integer number (1133657441280).

Almost surely, 2^{768977214777072} is an apocalyptic number.

768977214777072 is a gapful number since it is divisible by the number (72) 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 768977214777072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451081524838400).

768977214777072 is an abundant number, since it is smaller than the sum of its proper divisors (2133185834899728).

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

768977214777072 is a wasteful number, since it uses less digits than its factorization.

768977214777072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 5692329216, while the sum is 81.

The spelling of 768977214777072 in words is "seven hundred sixty-eight trillion, nine hundred seventy-seven billion, two hundred fourteen million, seven hundred seventy-seven thousand, seventy-two".