6977280 has 144 divisors (see below), whose sum is σ = 23546880. Its totient is φ = 1757184.

The previous prime is 6977279. The next prime is 6977287. The reversal of 6977280 is 827796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6977287) 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, 88281 + ... + 88359.

It is an arithmetic number, because the mean of its divisors is an integer number (163520).

Almost surely, 2^6977280 is an apocalyptic number.

6977280 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 6977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773440).

6977280 is an abundant number, since it is smaller than the sum of its proper divisors (16569600).

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

6977280 is a wasteful number, since it uses less digits than its factorization.

6977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 6977280 is about 2641.4541449739. The cubic root of 6977280 is about 191.0859330250.

The spelling of 6977280 in words is "six million, nine hundred seventy-seven thousand, two hundred eighty".