6978000 has 80 divisors (see below), whose sum is σ = 22516416. Its totient is φ = 1859200.

The previous prime is 6977969. The next prime is 6978001. The reversal of 6978000 is 8796.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6978001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5419 + ... + 6581.

Almost surely, 2^6978000 is an apocalyptic number.

6978000 is a gapful number since it is divisible by the number (60) 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 6978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11258208).

6978000 is an abundant number, since it is smaller than the sum of its proper divisors (15538416).

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

6978000 is a wasteful number, since it uses less digits than its factorization.

6978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 6978000 is about 2641.5904300251. The cubic root of 6978000 is about 191.0925056502.

The spelling of 6978000 in words is "six million, nine hundred seventy-eight thousand".