96882787600 has 135 divisors (see below), whose sum is σ = 236947280367. Its totient is φ = 38068343040.

The previous prime is 96882787571. The next prime is 96882787601. The reversal of 96882787600 is 678728869.

The square root of 96882787600 is 311260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 22340683024 + 74542104576 = 149468^2 + 273024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96882787601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 491790702 + ... + 491790898.

Almost surely, 2^96882787600 is an apocalyptic number.

96882787600 is the 311260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96882787600

96882787600 is an abundant number, since it is smaller than the sum of its proper divisors (140064492767).

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

96882787600 is an equidigital number, since it uses as much as digits as its factorization.

96882787600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 61.

The spelling of 96882787600 in words is "ninety-six billion, eight hundred eighty-two million, seven hundred eighty-seven thousand, six hundred".