7906480 has 40 divisors (see below), whose sum is σ = 19186272. Its totient is φ = 3024384.

The previous prime is 7906471. The next prime is 7906501. The reversal of 7906480 is 846097.

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

It is a super-3 number, since 3×7906480³ (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309 + ... + 3988.

Almost surely, 2^7906480 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 7906480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593136).

7906480 is an abundant number, since it is smaller than the sum of its proper divisors (11279792).

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

7906480 is a wasteful number, since it uses less digits than its factorization.

7906480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 7906480 is about 2811.8463684917. The cubic root of 7906480 is about 199.2176099871.

The spelling of 7906480 in words is "seven million, nine hundred six thousand, four hundred eighty".