76195441 has 27 divisors (see below), whose sum is σ = 93981771. Its totient is φ = 61591824.

The previous prime is 76195433. The next prime is 76195477. The reversal of 76195441 is 14459167.

The square root of 76195441 is 8729.

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., 39955041 + 36240400 = 6321^2 + 6020^2 .

It is not a de Polignac number, because 76195441 - 2³ = 76195433 is a prime.

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 76195441.

It is not an unprimeable number, because it can be changed into a prime (76195541) 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, 1771966 + ... + 1772008.

Almost surely, 2^76195441 is an apocalyptic number.

76195441 is the 8729-th square number.

76195441 is the 4365-th centered octagonal number.

It is an amenable number.

76195441 is a deficient number, since it is larger than the sum of its proper divisors (17786330).

76195441 is an equidigital number, since it uses as much as digits as its factorization.

76195441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 79 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The cubic root of 76195441 is about 423.9451413094.

It can be divided in two parts, 761954 and 41, that added together give a triangular number (761995 = T₁₂₃₄).

The spelling of 76195441 in words is "seventy-six million, one hundred ninety-five thousand, four hundred forty-one".