7740880 has 80 divisors (see below), whose sum is σ = 21498624. Its totient is φ = 2534400.

The previous prime is 7740871. The next prime is 7740907. The reversal of 7740880 is 880477.

7740880 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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

7740880 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12580 + ... + 13180.

Almost surely, 2^7740880 is an apocalyptic number.

7740880 is a gapful number since it is divisible by the number (70) 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 7740880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10749312).

7740880 is an abundant number, since it is smaller than the sum of its proper divisors (13757744).

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

7740880 is a wasteful number, since it uses less digits than its factorization.

7740880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 7740880 is about 2782.2436988876. The cubic root of 7740880 is about 197.8169242697.

The spelling of 7740880 in words is "seven million, seven hundred forty thousand, eight hundred eighty".