3078000 has 200 divisors, whose sum is σ = 11703120. Its totient is φ = 777600.

The previous prime is 3077953. The next prime is 3078001. The reversal of 3078000 is 8703.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3078001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161991 + ... + 162009.

Almost surely, 2^3078000 is an apocalyptic number.

3078000 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 3078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851560).

3078000 is an abundant number, since it is smaller than the sum of its proper divisors (8625120).

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

3078000 is a wasteful number, since it uses less digits than its factorization.

3078000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3078000 is about 1754.4229820656. The cubic root of 3078000 is about 145.4642275752.

The spelling of 3078000 in words is "three million, seventy-eight thousand".