2768700 has 72 divisors (see below), whose sum is σ = 8749440. Its totient is φ = 670400.

The previous prime is 2768683. The next prime is 2768767. The reversal of 2768700 is 78672.

2768700 = T₇₀₄ + T₇₀₅ + ... + T₇₁₄.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2881 + ... + 3719.

It is an arithmetic number, because the mean of its divisors is an integer number (121520).

2^2768700 is an apocalyptic number.

2768700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374720).

2768700 is an abundant number, since it is smaller than the sum of its proper divisors (5980740).

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

2768700 is a wasteful number, since it uses less digits than its factorization.

2768700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 2768700 is about 1663.9411047270. The cubic root of 2768700 is about 140.4188138845.

The spelling of 2768700 in words is "two million, seven hundred sixty-eight thousand, seven hundred".