6980400 has 180 divisors, whose sum is σ = 27784432. Its totient is φ = 1589760.

The previous prime is 6980399. The next prime is 6980401. The reversal of 6980400 is 40896.

It is an interprime number because it is at equal distance from previous prime (6980399) and next prime (6980401).

It is a tau number, because it is divible by the number of its divisors (180).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6980401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25062 + ... + 25338.

Almost surely, 2^6980400 is an apocalyptic number.

6980400 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 6980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892216).

6980400 is an abundant number, since it is smaller than the sum of its proper divisors (20804032).

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

6980400 is a wasteful number, since it uses less digits than its factorization.

6980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6980400 is about 2642.0446627565. The cubic root of 6980400 is about 191.1144111363.

The spelling of 6980400 in words is "six million, nine hundred eighty thousand, four hundred".