2078800 has 30 divisors (see below), whose sum is σ = 4995278. Its totient is φ = 831360.

The previous prime is 2078789. The next prime is 2078801. The reversal of 2078800 is 88702.

2078800 = T₂₆₃ + T₂₆₄ + ... + T₃₁₂.

It can be written as a sum of positive squares in 3 ways, for example, as 107584 + 1971216 = 328^2 + 1404^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078801) 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 5 ways as a sum of consecutive naturals, for example, 2199 + ... + 2998.

2^2078800 is an apocalyptic number.

2078800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2078800 is an abundant number, since it is smaller than the sum of its proper divisors (2916478).

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

2078800 is a wasteful number, since it uses less digits than its factorization.

2078800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5215 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 2078800 is about 1441.8044250175. The cubic root of 2078800 is about 127.6255331614.

The spelling of 2078800 in words is "two million, seventy-eight thousand, eight hundred".