7978464 has 72 divisors (see below), whose sum is σ = 24445512. Its totient is φ = 2453760.

The previous prime is 7978463. The next prime is 7978471. The reversal of 7978464 is 4648797.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7978463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2679 + ... + 4809.

It is an arithmetic number, because the mean of its divisors is an integer number (339521).

Almost surely, 2^7978464 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 7978464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12222756).

7978464 is an abundant number, since it is smaller than the sum of its proper divisors (16467048).

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

7978464 is a wasteful number, since it uses less digits than its factorization.

7978464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2149 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7978464 is about 2824.6174962285. The cubic root of 7978464 is about 199.8203720506.

It can be divided in two parts, 797 and 8464, that added together give a cube (9261 = 21³).

The spelling of 7978464 in words is "seven million, nine hundred seventy-eight thousand, four hundred sixty-four".