7872656 has 40 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 3488000.

The previous prime is 7872653. The next prime is 7872661. The reversal of 7872656 is 6562787.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (7872653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6671 + ... + 7761.

Almost surely, 2^7872656 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 7872656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

7872656 is an abundant number, since it is smaller than the sum of its proper divisors (9188752).

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

7872656 is a wasteful number, since it uses less digits than its factorization.

7872656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1145 counting only the distinct ones).

The product of its digits is 141120, while the sum is 41.

The square root of 7872656 is about 2805.8253687641. The cubic root of 7872656 is about 198.9331189437.

It can be divided in two parts, 787 and 2656, that added together give a palindrome (3443).

The spelling of 7872656 in words is "seven million, eight hundred seventy-two thousand, six hundred fifty-six".