76881200 has 120 divisors (see below), whose sum is σ = 204669936. Its totient is φ = 27520000.

The previous prime is 76881187. The next prime is 76881221. The reversal of 76881200 is 218867.

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 23 ways as a sum of consecutive naturals, for example, 444314 + ... + 444486.

Almost surely, 2^76881200 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 76881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102334968).

76881200 is an abundant number, since it is smaller than the sum of its proper divisors (127788736).

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

76881200 is a wasteful number, since it uses less digits than its factorization.

76881200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 76881200 is about 8768.1925161347. The cubic root of 76881200 is about 425.2131802480.

It can be divided in two parts, 7688 and 1200, that added together give a palindrome (8888).

The spelling of 76881200 in words is "seventy-six million, eight hundred eighty-one thousand, two hundred".