7967120 has 80 divisors (see below), whose sum is σ = 21748608. Its totient is φ = 2657280.

The previous prime is 7967117. The next prime is 7967143. The reversal of 7967120 is 217697.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22787 + ... + 23133.

Almost surely, 2^7967120 is an apocalyptic number.

7967120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7967120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10874304).

7967120 is an abundant number, since it is smaller than the sum of its proper divisors (13781488).

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

7967120 is a wasteful number, since it uses less digits than its factorization.

7967120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 7967120 is about 2822.6087224410. The cubic root of 7967120 is about 199.7256237605.

The spelling of 7967120 in words is "seven million, nine hundred sixty-seven thousand, one hundred twenty".