77448107025 has 27 divisors (see below), whose sum is σ = 138725642289. Its totient is φ = 41303430720.

The previous prime is 77448106999. The next prime is 77448107027. The reversal of 77448107025 is 52070184477.

The square root of 77448107025 is 278295.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29639409921 + 47808697104 = 172161^2 + 218652^2 .

It is not a de Polignac number, because 77448107025 - 2⁵ = 77448106993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (77448107027) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4165149 + ... + 4183701.

Almost surely, 2^77448107025 is an apocalyptic number.

77448107025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

77448107025 is the 278295-th square number.

77448107025 is the 139148-th centered octagonal number.

It is an amenable number.

77448107025 is a deficient number, since it is larger than the sum of its proper divisors (61277535264).

77448107025 is an frugal number, since it uses more digits than its factorization.

77448107025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37122 (or 18561 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 77448107025 in words is "seventy-seven billion, four hundred forty-eight million, one hundred seven thousand, twenty-five".