6977880 has 256 divisors, whose sum is σ = 29030400. Its totient is φ = 1451520.

The previous prime is 6977843. The next prime is 6977891. The reversal of 6977880 is 887796.

6977880 is digitally balanced in base 5, 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98245 + ... + 98315.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 2^6977880 is an apocalyptic number.

6977880 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 6977880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

6977880 is an abundant number, since it is smaller than the sum of its proper divisors (22052520).

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

6977880 is a wasteful number, since it uses less digits than its factorization.

6977880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 6977880 is about 2641.5677163382. The cubic root of 6977880 is about 191.0914102441.

The spelling of 6977880 in words is "six million, nine hundred seventy-seven thousand, eight hundred eighty".