7706881728 has 840 divisors, whose sum is σ = 30763012896. Its totient is φ = 1851310080.

The previous prime is 7706881727. The next prime is 7706881789. The reversal of 7706881728 is 8271886077.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7706881727) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 248609073 + ... + 248609103.

Almost surely, 2^7706881728 is an apocalyptic number.

7706881728 is a gapful number since it is divisible by the number (78) 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 7706881728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15381506448).

7706881728 is an abundant number, since it is smaller than the sum of its proper divisors (23056131168).

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

7706881728 is a wasteful number, since it uses less digits than its factorization.

7706881728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The square root of 7706881728 is about 87788.8474010224. The cubic root of 7706881728 is about 1975.2689248075.

The spelling of 7706881728 in words is "seven billion, seven hundred six million, eight hundred eighty-one thousand, seven hundred twenty-eight".