772968526848 has 528 divisors, whose sum is σ = 2678096977920. Its totient is φ = 210069504000.

The previous prime is 772968526829. The next prime is 772968526853. The reversal of 772968526848 is 848625869277.

772968526848 is a `hidden beast` number, since 7 + 7 + 2 + 96 + 8 + 526 + 8 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117989173 + ... + 117995723.

Almost surely, 2^772968526848 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 772968526848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339048488960).

772968526848 is an abundant number, since it is smaller than the sum of its proper divisors (1905128451072).

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

772968526848 is a wasteful number, since it uses less digits than its factorization.

772968526848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6674 (or 6653 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 772968526848 in words is "seven hundred seventy-two billion, nine hundred sixty-eight million, five hundred twenty-six thousand, eight hundred forty-eight".