76027200 has 168 divisors, whose sum is σ = 255495552. Its totient is φ = 19783680.

The previous prime is 76027199. The next prime is 76027219. The reversal of 76027200 is 272067.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 225432 + ... + 225768.

Almost surely, 2^76027200 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 76027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127747776).

76027200 is an abundant number, since it is smaller than the sum of its proper divisors (179468352).

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

76027200 is a wasteful number, since it uses less digits than its factorization.

76027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 76027200 is about 8719.3577745153. The cubic root of 76027200 is about 423.6328850305.

Adding to 76027200 its reverse (272067), we get a palindrome (76299267).

The spelling of 76027200 in words is "seventy-six million, twenty-seven thousand, two hundred".