76065200 has 60 divisors (see below), whose sum is σ = 183589440. Its totient is φ = 30286080.

The previous prime is 76065161. The next prime is 76065217. The reversal of 76065200 is 256067.

It is a self number, because there is not a number n which added to its sum of digits gives 76065200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158561 + ... + 159039.

It is an arithmetic number, because the mean of its divisors is an integer number (3059824).

Almost surely, 2^76065200 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 76065200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91794720).

76065200 is an abundant number, since it is smaller than the sum of its proper divisors (107524240).

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

76065200 is a wasteful number, since it uses less digits than its factorization.

76065200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 76065200 is about 8721.5365618680. The cubic root of 76065200 is about 423.7034534951.

The spelling of 76065200 in words is "seventy-six million, sixty-five thousand, two hundred".