7755332480 has 128 divisors (see below), whose sum is σ = 21297600000. Its totient is φ = 2645305344.

The previous prime is 7755332479. The next prime is 7755332483. The reversal of 7755332480 is 842335577.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7755332483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 887171 + ... + 895869.

It is an arithmetic number, because the mean of its divisors is an integer number (166387500).

Almost surely, 2^7755332480 is an apocalyptic number.

7755332480 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 7755332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10648800000).

7755332480 is an abundant number, since it is smaller than the sum of its proper divisors (13542267520).

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

7755332480 is a wasteful number, since it uses less digits than its factorization.

7755332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924 (or 8912 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The square root of 7755332480 is about 88064.3655515669. The cubic root of 7755332480 is about 1979.3995798746.

The spelling of 7755332480 in words is "seven billion, seven hundred fifty-five million, three hundred thirty-two thousand, four hundred eighty".