772656735360 has 384 divisors, whose sum is σ = 2520481803840. Its totient is φ = 201320570880.

The previous prime is 772656735343. The next prime is 772656735377. The reversal of 772656735360 is 63537656277.

It is an interprime number because it is at equal distance from previous prime (772656735343) and next prime (772656735377).

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 772656735360.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1353163875 + ... + 1353164445.

Almost surely, 2^772656735360 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 772656735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260240901920).

772656735360 is an abundant number, since it is smaller than the sum of its proper divisors (1747825068480).

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

772656735360 is a wasteful number, since it uses less digits than its factorization.

772656735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 57.

The spelling of 772656735360 in words is "seven hundred seventy-two billion, six hundred fifty-six million, seven hundred thirty-five thousand, three hundred sixty".