7882480 has 40 divisors (see below), whose sum is σ = 18829152. Its totient is φ = 3066624.

The previous prime is 7882471. The next prime is 7882489. The reversal of 7882480 is 842887.

7882480 = T₃₂₀ + T₃₂₁ + ... + T₄₃₀.

It is an interprime number because it is at equal distance from previous prime (7882471) and next prime (7882489).

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

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7882489) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1629 + ... + 4291.

Almost surely, 2^7882480 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 7882480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9414576).

7882480 is an abundant number, since it is smaller than the sum of its proper divisors (10946672).

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

7882480 is a wasteful number, since it uses less digits than its factorization.

7882480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 7882480 is about 2807.5754664835. The cubic root of 7882480 is about 199.0158316740.

The spelling of 7882480 in words is "seven million, eight hundred eighty-two thousand, four hundred eighty".