8532787200 has 480 divisors, whose sum is σ = 33285964800. Its totient is φ = 1887436800.

The previous prime is 8532787147. The next prime is 8532787253. The reversal of 8532787200 is 27872358.

It is an interprime number because it is at equal distance from previous prime (8532787147) and next prime (8532787253).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 275251185 + ... + 275251215.

It is an arithmetic number, because the mean of its divisors is an integer number (69345760).

Almost surely, 2^8532787200 is an apocalyptic number.

8532787200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8532787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642982400).

8532787200 is an abundant number, since it is smaller than the sum of its proper divisors (24753177600).

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

8532787200 is an frugal number, since it uses more digits than its factorization.

8532787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 8532787200 is about 92373.0869896638. The cubic root of 8532787200 is about 2043.4482242939.

The spelling of 8532787200 in words is "eight billion, five hundred thirty-two million, seven hundred eighty-seven thousand, two hundred".