7880544 has 96 divisors (see below), whose sum is σ = 26288640. Its totient is φ = 2249856.

The previous prime is 7880533. The next prime is 7880549. The reversal of 7880544 is 4450887.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 7880499 and 7880508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7880549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5397 + ... + 6699.

It is an arithmetic number, because the mean of its divisors is an integer number (273840).

Almost surely, 2^7880544 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 7880544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13144320).

7880544 is an abundant number, since it is smaller than the sum of its proper divisors (18408096).

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

7880544 is a wasteful number, since it uses less digits than its factorization.

7880544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 7880544 is about 2807.2306638394. The cubic root of 7880544 is about 198.9995370477. Note that the first 3 decimals are identical.

The spelling of 7880544 in words is "seven million, eight hundred eighty thousand, five hundred forty-four".