2788767 has 12 divisors (see below), whose sum is σ = 4055064. Its totient is φ = 1846800.

The previous prime is 2788699. The next prime is 2788769. The reversal of 2788767 is 7678872.

It is not a de Polignac number, because 2788767 - 2¹⁴ = 2772383 is a prime.

2788767 is a lucky number.

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517 + ... + 2417.

It is an arithmetic number, because the mean of its divisors is an integer number (337922).

2^2788767 is an apocalyptic number.

2788767 is a deficient number, since it is larger than the sum of its proper divisors (1266297).

2788767 is a wasteful number, since it uses less digits than its factorization.

2788767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2067 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 2788767 is about 1669.9601791660. The cubic root of 2788767 is about 140.7572403461.

It can be divided in two parts, 278 and 8767, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 2788767 in words is "two million, seven hundred eighty-eight thousand, seven hundred sixty-seven".