7707480480 has 720 divisors, whose sum is σ = 32379759720. Its totient is φ = 1720922112.

The previous prime is 7707480457. The next prime is 7707480551. The reversal of 7707480480 is 840847077.

It can be written as a sum of positive squares in 4 ways, for example, as 7646453136 + 61027344 = 87444^2 + 7812^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33657006 + ... + 33657234.

Almost surely, 2^7707480480 is an apocalyptic number.

7707480480 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 7707480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189879860).

7707480480 is an abundant number, since it is smaller than the sum of its proper divisors (24672279240).

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

7707480480 is a wasteful number, since it uses less digits than its factorization.

7707480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 7707480480 is about 87792.2575173916. The cubic root of 7707480480 is about 1975.3200767361.

The spelling of 7707480480 in words is "seven billion, seven hundred seven million, four hundred eighty thousand, four hundred eighty".