76530600 has 288 divisors, whose sum is σ = 283341240. Its totient is φ = 18432000.

The previous prime is 76530551. The next prime is 76530673. The reversal of 76530600 is 603567.

76530600 is a `hidden beast` number, since 7 + 6 + 53 + 0 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2604996 + 73925604 = 1614^2 + 8598^2 .

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 71 ways as a sum of consecutive naturals, for example, 1254570 + ... + 1254630.

Almost surely, 2^76530600 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 76530600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141670620).

76530600 is an abundant number, since it is smaller than the sum of its proper divisors (206810640).

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

76530600 is a wasteful number, since it uses less digits than its factorization.

76530600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 76530600 is about 8748.1769529428. The cubic root of 76530600 is about 424.5658311253.

The spelling of 76530600 in words is "seventy-six million, five hundred thirty thousand, six hundred".