772275920000 has 360 divisors, whose sum is σ = 2090542581765. Its totient is φ = 283954944000.

The previous prime is 772275919979. The next prime is 772275920011. The reversal of 772275920000 is 29572277.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 301119977536 + 471155942464 = 548744^2 + 686408^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=621400.

It is a super-2 number, since 2×772275920000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 772275920000.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3231279881 + ... + 3231280119.

Almost surely, 2^772275920000 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 772275920000

772275920000 is an abundant number, since it is smaller than the sum of its proper divisors (1318266661765).

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

772275920000 is an frugal number, since it uses more digits than its factorization.

772275920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 41.

The spelling of 772275920000 in words is "seven hundred seventy-two billion, two hundred seventy-five million, nine hundred twenty thousand".