77130225 has 60 divisors (see below), whose sum is σ = 146514060. Its totient is φ = 40089600.

The previous prime is 77130203. The next prime is 77130233. The reversal of 77130225 is 52203177.

It can be written as a sum of positive squares in 6 ways, for example, as 35605089 + 41525136 = 5967^2 + 6444^2 .

It is not a de Polignac number, because 77130225 - 2⁶ = 77130161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 82561 + ... + 83489.

It is an arithmetic number, because the mean of its divisors is an integer number (2441901).

Almost surely, 2^77130225 is an apocalyptic number.

77130225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77130225 is a deficient number, since it is larger than the sum of its proper divisors (69383835).

77130225 is a wasteful number, since it uses less digits than its factorization.

77130225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 77130225 is about 8782.3815107293. The cubic root of 77130225 is about 425.6717864693.

The spelling of 77130225 in words is "seventy-seven million, one hundred thirty thousand, two hundred twenty-five".