7879592448 has 960 divisors, whose sum is σ = 31457986560. Its totient is φ = 1839366144.

The previous prime is 7879592437. The next prime is 7879592449. The reversal of 7879592448 is 8442959787.

7879592448 is a `hidden beast` number, since 78 + 79 + 59 + 2 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7879592449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183246315 + ... + 183246357.

It is an arithmetic number, because the mean of its divisors is an integer number (32768736).

Almost surely, 2^7879592448 is an apocalyptic number.

7879592448 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 7879592448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728993280).

7879592448 is an abundant number, since it is smaller than the sum of its proper divisors (23578394112).

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

7879592448 is a wasteful number, since it uses less digits than its factorization.

7879592448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The square root of 7879592448 is about 88767.0684882631. The cubic root of 7879592448 is about 1989.9152719328.

The spelling of 7879592448 in words is "seven billion, eight hundred seventy-nine million, five hundred ninety-two thousand, four hundred forty-eight".