3076800 has 84 divisors (see below), whose sum is σ = 10110216. Its totient is φ = 819200.

The previous prime is 3076789. The next prime is 3076807. The reversal of 3076800 is 86703.

3076800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3076807) 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 11 ways as a sum of consecutive naturals, for example, 4480 + ... + 5120.

Almost surely, 2^3076800 is an apocalyptic number.

3076800 is a gapful number since it is divisible by the number (30) 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 3076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055108).

3076800 is an abundant number, since it is smaller than the sum of its proper divisors (7033416).

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

3076800 is a wasteful number, since it uses less digits than its factorization.

3076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3076800 is about 1754.0809559425. The cubic root of 3076800 is about 145.4453213848.

The spelling of 3076800 in words is "three million, seventy-six thousand, eight hundred".