7967440 has 80 divisors (see below), whose sum is σ = 20498688. Its totient is φ = 2861568.

The previous prime is 7967429. The next prime is 7967459. The reversal of 7967440 is 447697.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 7967440.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 48799 + ... + 48961.

Almost surely, 2^7967440 is an apocalyptic number.

7967440 is the 1630-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7967440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10249344).

7967440 is an abundant number, since it is smaller than the sum of its proper divisors (12531248).

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

7967440 is a wasteful number, since it uses less digits than its factorization.

7967440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 7967440 is about 2822.6654070222. The cubic root of 7967440 is about 199.7282977232.

The spelling of 7967440 in words is "seven million, nine hundred sixty-seven thousand, four hundred forty".