890778564 has 36 divisors (see below), whose sum is σ = 2424898476. Its totient is φ = 274085568.

The previous prime is 890778541. The next prime is 890778607. The reversal of 890778564 is 465877098.

890778564 is a `hidden beast` number, since 8 + 9 + 0 + 7 + 78 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 576000000 + 314778564 = 24000^2 + 17742^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 890778564.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 951219 + ... + 952154.

It is an arithmetic number, because the mean of its divisors is an integer number (67358291).

Almost surely, 2^890778564 is an apocalyptic number.

It is an amenable number.

890778564 is an abundant number, since it is smaller than the sum of its proper divisors (1534119912).

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

890778564 is a wasteful number, since it uses less digits than its factorization.

890778564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903396 (or 1903391 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 890778564 is about 29845.9136901520. The cubic root of 890778564 is about 962.1805770661.

The spelling of 890778564 in words is "eight hundred ninety million, seven hundred seventy-eight thousand, five hundred sixty-four".