7705716480 has 1296 divisors, whose sum is σ = 36314145504. Its totient is φ = 1486356480.

The previous prime is 7705716457. The next prime is 7705716503. The reversal of 7705716480 is 846175077.

7705716480 is a `hidden beast` number, since 7 + 70 + 571 + 6 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7705716457) and next prime (7705716503).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105557724 + ... + 105557796.

It is an arithmetic number, because the mean of its divisors is an integer number (28020174).

Almost surely, 2^7705716480 is an apocalyptic number.

7705716480 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 7705716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18157072752).

7705716480 is an abundant number, since it is smaller than the sum of its proper divisors (28608429024).

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

7705716480 is a wasteful number, since it uses less digits than its factorization.

7705716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 7705716480 is about 87782.2104984831. The cubic root of 7705716480 is about 1975.1693690141.

The spelling of 7705716480 in words is "seven billion, seven hundred five million, seven hundred sixteen thousand, four hundred eighty".