90782784 has 63 divisors (see below), whose sum is σ = 260869557. Its totient is φ = 30184704.

The previous prime is 90782773. The next prime is 90782807. The reversal of 90782784 is 48728709.

The square root of 90782784 is 9528.

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

It can be written as a sum of positive squares in only one way, i.e., 60840000 + 29942784 = 7800^2 + 5472^2 .

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 228474 + ... + 228870.

Almost surely, 2^90782784 is an apocalyptic number.

90782784 is the 9528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90782784

90782784 is an abundant number, since it is smaller than the sum of its proper divisors (170086773).

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

90782784 is an equidigital number, since it uses as much as digits as its factorization.

90782784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The cubic root of 90782784 is about 449.4359748338.

The spelling of 90782784 in words is "ninety million, seven hundred eighty-two thousand, seven hundred eighty-four".