7742880 has 144 divisors (see below), whose sum is σ = 27911520. Its totient is φ = 1949184.

The previous prime is 7742843. The next prime is 7742887. The reversal of 7742880 is 882477.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (7742887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27219 + ... + 27501.

It is an arithmetic number, because the mean of its divisors is an integer number (193830).

Almost surely, 2^7742880 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 7742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13955760).

7742880 is an abundant number, since it is smaller than the sum of its proper divisors (20168640).

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

7742880 is a wasteful number, since it uses less digits than its factorization.

7742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7742880 is about 2782.6030978205. The cubic root of 7742880 is about 197.8339593604.

The spelling of 7742880 in words is "seven million, seven hundred forty-two thousand, eight hundred eighty".