7760480 has 144 divisors (see below), whose sum is σ = 23242464. Its totient is φ = 2396160.

The previous prime is 7760479. The next prime is 7760497. The reversal of 7760480 is 840677.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189260 + ... + 189300.

It is an arithmetic number, because the mean of its divisors is an integer number (161406).

Almost surely, 2^7760480 is an apocalyptic number.

7760480 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 7760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621232).

7760480 is an abundant number, since it is smaller than the sum of its proper divisors (15481984).

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

7760480 is a wasteful number, since it uses less digits than its factorization.

7760480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 7760480 is about 2785.7638090836. The cubic root of 7760480 is about 197.9837418205.

The spelling of 7760480 in words is "seven million, seven hundred sixty thousand, four hundred eighty".