76506800 has 60 divisors (see below), whose sum is σ = 194637096. Its totient is φ = 28800000.

The previous prime is 76506799. The next prime is 76506811. The reversal of 76506800 is 860567.

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 11 ways as a sum of consecutive naturals, for example, 1175 + ... + 12425.

Almost surely, 2^76506800 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 76506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97318548).

76506800 is an abundant number, since it is smaller than the sum of its proper divisors (118130296).

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

76506800 is a wasteful number, since it uses less digits than its factorization.

76506800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11286 (or 11275 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 76506800 is about 8746.8165637562. The cubic root of 76506800 is about 424.5218151176.

The spelling of 76506800 in words is "seventy-six million, five hundred six thousand, eight hundred".