772253472 has 96 divisors (see below), whose sum is σ = 2067351552. Its totient is φ = 252370944.

The previous prime is 772253467. The next prime is 772253477. The reversal of 772253472 is 274352277.

It is an interprime number because it is at equal distance from previous prime (772253467) and next prime (772253477).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 772253472.

It is not an unprimeable number, because it can be changed into a prime (772253477) by changing a digit.

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, 1182298 + ... + 1182950.

It is an arithmetic number, because the mean of its divisors is an integer number (21534912).

Almost surely, 2^772253472 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 772253472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033675776).

772253472 is an abundant number, since it is smaller than the sum of its proper divisors (1295098080).

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

772253472 is a wasteful number, since it uses less digits than its factorization.

772253472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

The product of its digits is 164640, while the sum is 39.

The square root of 772253472 is about 27789.4489330033. The cubic root of 772253472 is about 917.4589109640.

The spelling of 772253472 in words is "seven hundred seventy-two million, two hundred fifty-three thousand, four hundred seventy-two".