77748957225 has 81 divisors (see below), whose sum is σ = 144449922799. Its totient is φ = 39973785600.

The previous prime is 77748957211. The next prime is 77748957259. The reversal of 77748957225 is 52275984777.

The square root of 77748957225 is 278835.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 13796616681 + 63952340544 = 117459^2 + 252888^2 .

It is not a de Polignac number, because 77748957225 - 2¹¹ = 77748955177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 121292905 + ... + 121293545.

Almost surely, 2^77748957225 is an apocalyptic number.

77748957225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

77748957225 is the 278835-th square number.

77748957225 is the 139418-th centered octagonal number.

It is an amenable number.

77748957225 is a deficient number, since it is larger than the sum of its proper divisors (66700965574).

77748957225 is an equidigital number, since it uses as much as digits as its factorization.

77748957225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 678 counting only the distinct ones).

The product of its digits is 69148800, while the sum is 63.

The spelling of 77748957225 in words is "seventy-seven billion, seven hundred forty-eight million, nine hundred fifty-seven thousand, two hundred twenty-five".