7775520480 has 960 divisors, whose sum is σ = 35653685760. Its totient is φ = 1549725696.

The previous prime is 7775520391. The next prime is 7775520509. The reversal of 7775520480 is 840255777.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22407667 + ... + 22408013.

It is an arithmetic number, because the mean of its divisors is an integer number (37139256).

Almost surely, 2^7775520480 is an apocalyptic number.

7775520480 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 7775520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17826842880).

7775520480 is an abundant number, since it is smaller than the sum of its proper divisors (27878165280).

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

7775520480 is a wasteful number, since it uses less digits than its factorization.

7775520480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 7775520480 is about 88178.9117646617. The cubic root of 7775520480 is about 1981.1156247302.

The spelling of 7775520480 in words is "seven billion, seven hundred seventy-five million, five hundred twenty thousand, four hundred eighty".