772224320 has 168 divisors, whose sum is σ = 2265691176. Its totient is φ = 249102336.

The previous prime is 772224319. The next prime is 772224347. The reversal of 772224320 is 23422277.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46676224 + 725548096 = 6832^2 + 26936^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265112 + ... + 268008.

It is an arithmetic number, because the mean of its divisors is an integer number (13486257).

Almost surely, 2^772224320 is an apocalyptic number.

772224320 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 772224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132845588).

772224320 is an abundant number, since it is smaller than the sum of its proper divisors (1493466856).

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

772224320 is a wasteful number, since it uses less digits than its factorization.

772224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

The square root of 772224320 is about 27788.9244124345. The cubic root of 772224320 is about 917.4473663526.

Adding to 772224320 its reverse (23422277), we get a palindrome (795646597).

The spelling of 772224320 in words is "seven hundred seventy-two million, two hundred twenty-four thousand, three hundred twenty".