2076800 has 96 divisors (see below), whose sum is σ = 5691600. Its totient is φ = 742400.

The previous prime is 2076797. The next prime is 2076803. The reversal of 2076800 is 86702.

It is an interprime number because it is at equal distance from previous prime (2076797) and next prime (2076803).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2076803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35171 + ... + 35229.

2^2076800 is an apocalyptic number.

2076800 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 2076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845800).

2076800 is an abundant number, since it is smaller than the sum of its proper divisors (3614800).

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

2076800 is a wasteful number, since it uses less digits than its factorization.

2076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 2076800 is about 1441.1106827721. The cubic root of 2076800 is about 127.5845907959.

It can be divided in two parts, 207 and 6800, that added together give a palindrome (7007).

The spelling of 2076800 in words is "two million, seventy-six thousand, eight hundred".