7879248 has 160 divisors (see below), whose sum is σ = 25831680. Its totient is φ = 2280960.

The previous prime is 7879247. The next prime is 7879253. The reversal of 7879248 is 8429787.

It is a Cunningham number, because it is equal to 2807²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7879247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129138 + ... + 129198.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^7879248 is an apocalyptic number.

7879248 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7879248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12915840).

7879248 is an abundant number, since it is smaller than the sum of its proper divisors (17952432).

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

7879248 is a wasteful number, since it uses less digits than its factorization.

7879248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 7879248 is about 2806.9998218739. Note that the first 3 decimals coincide. The cubic root of 7879248 is about 198.9886275834.

The spelling of 7879248 in words is "seven million, eight hundred seventy-nine thousand, two hundred forty-eight".