7978960 has 40 divisors (see below), whose sum is σ = 20239776. Its totient is φ = 2901120.

The previous prime is 7978937. The next prime is 7978961. The reversal of 7978960 is 698797.

7978960 = T₁₇₈₄ + T₁₇₈₅ + ... + T₁₇₈₈.

7978960 is nontrivially palindromic in base 9.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 7978960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7978961) 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, 3654 + ... + 5413.

Almost surely, 2^7978960 is an apocalyptic number.

It is an amenable number.

7978960 is an abundant number, since it is smaller than the sum of its proper divisors (12260816).

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

7978960 is a wasteful number, since it uses less digits than its factorization.

7978960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9091 (or 9085 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 7978960 is about 2824.7052943626. The cubic root of 7978960 is about 199.8245127328.

The spelling of 7978960 in words is "seven million, nine hundred seventy-eight thousand, nine hundred sixty".