772218349056 has 720 divisors, whose sum is σ = 2994754997520. Its totient is φ = 188767272960.

The previous prime is 772218349027. The next prime is 772218349081. The reversal of 772218349056 is 650943812277.

It is a happy number.

772218349056 is a `hidden beast` number, since 7 + 7 + 2 + 21 + 83 + 490 + 56 = 666.

It is a super-2 number, since 2×772218349056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 772218348993 and 772218349011.

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 71 ways as a sum of consecutive naturals, for example, 42213960 + ... + 42232248.

It is an arithmetic number, because the mean of its divisors is an integer number (4159381941).

It is a 1-persistent number, because it is pandigital, but 2⋅772218349056 = 1544436698112 is not.

Almost surely, 2^772218349056 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 772218349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497377498760).

772218349056 is an abundant number, since it is smaller than the sum of its proper divisors (2222536648464).

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

772218349056 is a wasteful number, since it uses less digits than its factorization.

772218349056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18355 (or 18329 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 772218349056 in words is "seven hundred seventy-two billion, two hundred eighteen million, three hundred forty-nine thousand, fifty-six".