776652253164320 has 768 divisors, whose sum is σ = 2107726738145280. Its totient is φ = 268403466240000.

The previous prime is 776652253164287. The next prime is 776652253164323. The reversal of 776652253164320 is 23461352256677.

It is a self number, because there is not a number n which added to its sum of digits gives 776652253164320.

It is not an unprimeable number, because it can be changed into a prime (776652253164323) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 101909490110 + ... + 101909497730.

It is an arithmetic number, because the mean of its divisors is an integer number (2744435856960).

Almost surely, 2^{776652253164320} 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 776652253164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053863369072640).

776652253164320 is an abundant number, since it is smaller than the sum of its proper divisors (1331074484980960).

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

776652253164320 is a wasteful number, since it uses less digits than its factorization.

776652253164320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8109 (or 8101 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 59.

The spelling of 776652253164320 in words is "seven hundred seventy-six trillion, six hundred fifty-two billion, two hundred fifty-three million, one hundred sixty-four thousand, three hundred twenty".