76261320 has 144 divisors (see below), whose sum is σ = 263645460. Its totient is φ = 19113984.

The previous prime is 76261319. The next prime is 76261357. The reversal of 76261320 is 2316267.

It is a happy number.

76261320 is a `hidden beast` number, since 7 + 626 + 1 + 32 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 71876484 + 4384836 = 8478^2 + 2094^2 .

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 35 ways as a sum of consecutive naturals, for example, 103674 + ... + 104406.

Almost surely, 2^76261320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76261320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131822730).

76261320 is an abundant number, since it is smaller than the sum of its proper divisors (187384140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76261320 is a wasteful number, since it uses less digits than its factorization.

76261320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 76261320 is about 8732.7727555456. The cubic root of 76261320 is about 424.0672878851.

Adding to 76261320 its reverse (2316267), we get a palindrome (78577587).

The spelling of 76261320 in words is "seventy-six million, two hundred sixty-one thousand, three hundred twenty".