76060800 has 288 divisors, whose sum is σ = 287742000. Its totient is φ = 19077120.

The previous prime is 76060783. The next prime is 76060801. The reversal of 76060800 is 806067.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (76060801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 547131 + ... + 547269.

Almost surely, 2^76060800 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 76060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143871000).

76060800 is an abundant number, since it is smaller than the sum of its proper divisors (211681200).

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

76060800 is a wasteful number, since it uses less digits than its factorization.

76060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76060800 is about 8721.2843090912. The cubic root of 76060800 is about 423.6952836130.

Adding to 76060800 its reverse (806067), we get a palindrome (76866867).

The spelling of 76060800 in words is "seventy-six million, sixty thousand, eight hundred".