6978752 has 56 divisors (see below), whose sum is σ = 15800832. Its totient is φ = 3027200.

The previous prime is 6978749. The next prime is 6978761. The reversal of 6978752 is 2578796.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a d-powerful number, because it can be written as 6⁴ + 9⁷ + 7⁴ + 8⁷ + 7⁵ + 5⁷ + 2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15977 + ... + 16407.

Almost surely, 2^6978752 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 6978752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900416).

6978752 is an abundant number, since it is smaller than the sum of its proper divisors (8822080).

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

6978752 is a wasteful number, since it uses less digits than its factorization.

6978752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its digits is 211680, while the sum is 44.

The square root of 6978752 is about 2641.7327646831. The cubic root of 6978752 is about 191.0993699094.

Adding to 6978752 its sum of digits (44), we get a palindrome (6978796).

It can be divided in two parts, 697 and 8752, that added together give a palindrome (9449).

The spelling of 6978752 in words is "six million, nine hundred seventy-eight thousand, seven hundred fifty-two".