96777200 has 120 divisors (see below), whose sum is σ = 257671008. Its totient is φ = 34698240.

The previous prime is 96777199. The next prime is 96777229. The reversal of 96777200 is 277769.

It is a congruent number.

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, 192149 + ... + 192651.

Almost surely, 2^96777200 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 96777200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128835504).

96777200 is an abundant number, since it is smaller than the sum of its proper divisors (160893808).

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

96777200 is a wasteful number, since it uses less digits than its factorization.

96777200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 38.

The square root of 96777200 is about 9837.5403429922. The cubic root of 96777200 is about 459.1180328148.

The spelling of 96777200 in words is "ninety-six million, seven hundred seventy-seven thousand, two hundred".