7772226336 has 576 divisors, whose sum is σ = 28068768000. Its totient is φ = 2032128000.

The previous prime is 7772226313. The next prime is 7772226373. The reversal of 7772226336 is 6336222777.

7772226336 is a `hidden beast` number, since 7 + 7 + 7 + 2 + 2 + 2 + 633 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7772226291 and 7772226300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76952686 + ... + 76952786.

It is an arithmetic number, because the mean of its divisors is an integer number (48730500).

Almost surely, 2^7772226336 is an apocalyptic number.

7772226336 is a gapful number since it is divisible by the number (76) 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 7772226336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034384000).

7772226336 is an abundant number, since it is smaller than the sum of its proper divisors (20296541664).

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

7772226336 is a wasteful number, since it uses less digits than its factorization.

7772226336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its digits is 889056, while the sum is 45.

The square root of 7772226336 is about 88160.2310341800. The cubic root of 7772226336 is about 1980.8358148669.

The spelling of 7772226336 in words is "seven billion, seven hundred seventy-two million, two hundred twenty-six thousand, three hundred thirty-six".