2788764 has 48 divisors (see below), whose sum is σ = 7303296. Its totient is φ = 820800.

The previous prime is 2788699. The next prime is 2788769. The reversal of 2788764 is 4678872.

2788764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2¹⁹ + 7⁵ + 8⁵ + 8⁷ + 7⁶ + 6² + 4³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2788769) 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 15 ways as a sum of consecutive naturals, for example, 4599 + ... + 5169.

It is an arithmetic number, because the mean of its divisors is an integer number (152152).

2^2788764 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 2788764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651648).

2788764 is an abundant number, since it is smaller than the sum of its proper divisors (4514532).

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

2788764 is a wasteful number, since it uses less digits than its factorization.

2788764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 624 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 2788764 is about 1669.9592809407. The cubic root of 2788764 is about 140.7571898732.

The spelling of 2788764 in words is "two million, seven hundred eighty-eight thousand, seven hundred sixty-four".