7721710080 has 720 divisors, whose sum is σ = 30933752256. Its totient is φ = 1637744640.

The previous prime is 7721710013. The next prime is 7721710081. The reversal of 7721710080 is 800171277.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7721710081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108756445 + ... + 108756515.

Almost surely, 2^7721710080 is an apocalyptic number.

7721710080 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 7721710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15466876128).

7721710080 is an abundant number, since it is smaller than the sum of its proper divisors (23212042176).

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

7721710080 is a wasteful number, since it uses less digits than its factorization.

7721710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 33.

The square root of 7721710080 is about 87873.2614621763. The cubic root of 7721710080 is about 1976.5349456168.

The spelling of 7721710080 in words is "seven billion, seven hundred twenty-one million, seven hundred ten thousand, eighty".