772247952 has 160 divisors (see below), whose sum is σ = 2545551360. Its totient is φ = 219576960.

The previous prime is 772247921. The next prime is 772248017. The reversal of 772247952 is 259742277.

It is a junction number, because it is equal to n+sod(n) for n = 772247898 and 772247907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794827 + ... + 795797.

It is an arithmetic number, because the mean of its divisors is an integer number (15909696).

Almost surely, 2^772247952 is an apocalyptic number.

772247952 is a gapful number since it is divisible by the number (72) 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 772247952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272775680).

772247952 is an abundant number, since it is smaller than the sum of its proper divisors (1773303408).

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

772247952 is a wasteful number, since it uses less digits than its factorization.

772247952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1246 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 772247952 is about 27789.3496145556. The cubic root of 772247952 is about 917.4567249869.

The spelling of 772247952 in words is "seven hundred seventy-two million, two hundred forty-seven thousand, nine hundred fifty-two".