6977376 has 72 divisors (see below), whose sum is σ = 22683024. Its totient is φ = 1992960.

The previous prime is 6977329. The next prime is 6977381. The reversal of 6977376 is 6737796.

6977376 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286 + ... + 3746.

It is an arithmetic number, because the mean of its divisors is an integer number (315042).

Almost surely, 2^6977376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6977376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11341512).

6977376 is an abundant number, since it is smaller than the sum of its proper divisors (15705648).

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

6977376 is a wasteful number, since it uses less digits than its factorization.

6977376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484 (or 3473 counting only the distinct ones).

The product of its digits is 333396, while the sum is 45.

The square root of 6977376 is about 2641.4723167204. The cubic root of 6977376 is about 191.0868094012.

The spelling of 6977376 in words is "six million, nine hundred seventy-seven thousand, three hundred seventy-six".