772228520 has 64 divisors (see below), whose sum is σ = 1991018880. Its totient is φ = 264059136.

The previous prime is 772228493. The next prime is 772228531. The reversal of 772228520 is 25822277.

It is a happy number.

It is a Cunningham number, because it is equal to 27789²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107687 + ... + 114633.

It is an arithmetic number, because the mean of its divisors is an integer number (31109670).

Almost surely, 2^772228520 is an apocalyptic number.

772228520 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 772228520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995509440).

772228520 is an abundant number, since it is smaller than the sum of its proper divisors (1218790360).

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

772228520 is a wasteful number, since it uses less digits than its factorization.

772228520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7362 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 772228520 is about 27788.9999820073. Note that the first 4 decimals coincide. The cubic root of 772228520 is about 917.4490296309.

The spelling of 772228520 in words is "seven hundred seventy-two million, two hundred twenty-eight thousand, five hundred twenty".