7978672 has 40 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 3632640.

The previous prime is 7978667. The next prime is 7978679. The reversal of 7978672 is 2768797.

It is not an unprimeable number, because it can be changed into a prime (7978679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18297 + ... + 18727.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 2^7978672 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 7978672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

7978672 is an abundant number, since it is smaller than the sum of its proper divisors (8895248).

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

7978672 is a wasteful number, since it uses less digits than its factorization.

7978672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its digits is 296352, while the sum is 46.

The square root of 7978672 is about 2824.6543151331. The cubic root of 7978672 is about 199.8221084866.

The spelling of 7978672 in words is "seven million, nine hundred seventy-eight thousand, six hundred seventy-two".