76305600 has 252 divisors, whose sum is σ = 310361584. Its totient is φ = 17418240.

The previous prime is 76305587. The next prime is 76305643. The reversal of 76305600 is 650367.

76305600 is a `hidden beast` number, since 76 + 30 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100422 + ... + 101178.

Almost surely, 2^76305600 is an apocalyptic number.

76305600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155180792).

76305600 is an abundant number, since it is smaller than the sum of its proper divisors (234055984).

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

76305600 is a wasteful number, since it uses less digits than its factorization.

76305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 774 counting only the distinct ones).

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

The square root of 76305600 is about 8735.3076648736. The cubic root of 76305600 is about 424.1493481237.

Adding to 76305600 its reverse (650367), we get a palindrome (76955967).

The spelling of 76305600 in words is "seventy-six million, three hundred five thousand, six hundred".