7966080 has 128 divisors (see below), whose sum is σ = 28274400. Its totient is φ = 2119680.

The previous prime is 7966061. The next prime is 7966103. The reversal of 7966080 is 806697.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

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, 17050 + ... + 17510.

Almost surely, 2^7966080 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 7966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137200).

7966080 is an abundant number, since it is smaller than the sum of its proper divisors (20308320).

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

7966080 is a wasteful number, since it uses less digits than its factorization.

7966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7966080 is about 2822.4244896897. The cubic root of 7966080 is about 199.7169328874.

The spelling of 7966080 in words is "seven million, nine hundred sixty-six thousand, eighty".