76416309225 has 45 divisors (see below), whose sum is σ = 141572466343. Its totient is φ = 40748730480.

The previous prime is 76416309173. The next prime is 76416309239. The reversal of 76416309225 is 52290361467.

The square root of 76416309225 is 276435.

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

76416309225 is a `hidden beast` number, since 7 + 6 + 4 + 1 + 630 + 9 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27509871321 + 48906437904 = 165861^2 + 221148^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2^k-76416309225 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12436504 + ... + 12442646.

Almost surely, 2^76416309225 is an apocalyptic number.

76416309225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

76416309225 is the 276435-th square number.

76416309225 is the 138218-th centered octagonal number.

It is an amenable number.

76416309225 is a deficient number, since it is larger than the sum of its proper divisors (65156157118).

76416309225 is an frugal number, since it uses more digits than its factorization.

76416309225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12308 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

It can be divided in two parts, 76416 and 309225, that added together give a square (385641 = 621²).

The spelling of 76416309225 in words is "seventy-six billion, four hundred sixteen million, three hundred nine thousand, two hundred twenty-five".