772227456 has 512 divisors, whose sum is σ = 2878848000. Its totient is φ = 180633600.

The previous prime is 772227451. The next prime is 772227479. The reversal of 772227456 is 654722277.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772227451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18834796 + ... + 18834836.

It is an arithmetic number, because the mean of its divisors is an integer number (5622750).

Almost surely, 2^772227456 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 772227456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439424000).

772227456 is an abundant number, since it is smaller than the sum of its proper divisors (2106620544).

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

772227456 is a wasteful number, since it uses less digits than its factorization.

772227456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its digits is 329280, while the sum is 42.

The square root of 772227456 is about 27788.9808377349. The cubic root of 772227456 is about 917.4486082676.

The spelling of 772227456 in words is "seven hundred seventy-two million, two hundred twenty-seven thousand, four hundred fifty-six".