77728200 has 96 divisors (see below), whose sum is σ = 262884960. Its totient is φ = 18841600.

The previous prime is 77728187. The next prime is 77728237. The reversal of 77728200 is 282777.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712 + ... + 12488.

It is an arithmetic number, because the mean of its divisors is an integer number (2738385).

Almost surely, 2^77728200 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 77728200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131442480).

77728200 is an abundant number, since it is smaller than the sum of its proper divisors (185156760).

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

77728200 is a wasteful number, since it uses less digits than its factorization.

77728200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11807 (or 11798 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 77728200 is about 8816.3597930212. The cubic root of 77728200 is about 426.7690048571.

The spelling of 77728200 in words is "seventy-seven million, seven hundred twenty-eight thousand, two hundred".