772019906560 has 384 divisors, whose sum is σ = 2302271112960. Its totient is φ = 242375196672.

The previous prime is 772019906557. The next prime is 772019906561. The reversal of 772019906560 is 65609910277.

It is a happy number.

It is a super-2 number, since 2×772019906560² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 772019906498 and 772019906507.

It is not an unprimeable number, because it can be changed into a prime (772019906561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45078159 + ... + 45095281.

It is an arithmetic number, because the mean of its divisors is an integer number (5995497690).

Almost surely, 2^772019906560 is an apocalyptic number.

772019906560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772019906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151135556480).

772019906560 is an abundant number, since it is smaller than the sum of its proper divisors (1530251206400).

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

772019906560 is a wasteful number, since it uses less digits than its factorization.

772019906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17211 (or 17191 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 52.

The spelling of 772019906560 in words is "seven hundred seventy-two billion, nineteen million, nine hundred six thousand, five hundred sixty".