7952880 has 80 divisors (see below), whose sum is σ = 26560800. Its totient is φ = 1956864.

The previous prime is 7952869. The next prime is 7952897. The reversal of 7952880 is 882597.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1846 + ... + 4394.

It is an arithmetic number, because the mean of its divisors is an integer number (332010).

Almost surely, 2^7952880 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 7952880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280400).

7952880 is an abundant number, since it is smaller than the sum of its proper divisors (18607920).

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

7952880 is a wasteful number, since it uses less digits than its factorization.

7952880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 7952880 is about 2820.0851050988. The cubic root of 7952880 is about 199.6065598652.

The spelling of 7952880 in words is "seven million, nine hundred fifty-two thousand, eight hundred eighty".