76134800 has 60 divisors (see below), whose sum is σ = 209052096. Its totient is φ = 26102400.

The previous prime is 76134781. The next prime is 76134859. The reversal of 76134800 is 843167.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10796 + ... + 16395.

Almost surely, 2^76134800 is an apocalyptic number.

76134800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76134800 is an abundant number, since it is smaller than the sum of its proper divisors (132917296).

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

76134800 is a wasteful number, since it uses less digits than its factorization.

76134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27216 (or 27205 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 76134800 is about 8725.5257721240. The cubic root of 76134800 is about 423.8326442881.

Adding to 76134800 its reverse (843167), we get a palindrome (76977967).

The spelling of 76134800 in words is "seventy-six million, one hundred thirty-four thousand, eight hundred".