90787200 has 288 divisors, whose sum is σ = 349653960. Its totient is φ = 20643840.

The previous prime is 90787171. The next prime is 90787201. The reversal of 90787200 is 278709.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90787201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 470304 + ... + 470496.

Almost surely, 2^90787200 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 90787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174826980).

90787200 is an abundant number, since it is smaller than the sum of its proper divisors (258866760).

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

90787200 is a wasteful number, since it uses less digits than its factorization.

90787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 90787200 is about 9528.2317352172. The cubic root of 90787200 is about 449.4432621078.

The spelling of 90787200 in words is "ninety million, seven hundred eighty-seven thousand, two hundred".