76300225 has 9 divisors (see below), whose sum is σ = 94666467. Its totient is φ = 61005240.

The previous prime is 76300201. The next prime is 76300241. The reversal of 76300225 is 52200367.

The square root of 76300225 is 8735.

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

It can be written as a sum of positive squares in only one way, i.e., 27468081 + 48832144 = 5241^2 + 6988^2 .

It is a de Polignac number, because none of the positive numbers 2^k-76300225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76300225.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 42802 + ... + 44548.

Almost surely, 2^76300225 is an apocalyptic number.

76300225 is the 8735-th square number.

76300225 is the 4368-th centered octagonal number.

It is an amenable number.

76300225 is a deficient number, since it is larger than the sum of its proper divisors (18366242).

76300225 is an frugal number, since it uses more digits than its factorization.

76300225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The cubic root of 76300225 is about 424.1393888011.

Multiplying 76300225 by its sum of digits (25), we get a square (1907505625 = 43675²).

76300225 divided by its sum of digits (25) gives a square (3052009 = 1747²).

The spelling of 76300225 in words is "seventy-six million, three hundred thousand, two hundred twenty-five".