7730220960 has 768 divisors, whose sum is σ = 35742228480. Its totient is φ = 1510686720.

The previous prime is 7730220937. The next prime is 7730220973. The reversal of 7730220960 is 690220377.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5654197 + ... + 5655563.

It is an arithmetic number, because the mean of its divisors is an integer number (46539360).

Almost surely, 2^7730220960 is an apocalyptic number.

7730220960 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 7730220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17871114240).

7730220960 is an abundant number, since it is smaller than the sum of its proper divisors (28012007520).

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

7730220960 is a wasteful number, since it uses less digits than its factorization.

7730220960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 7730220960 is about 87921.6751432774. The cubic root of 7730220960 is about 1977.2608588716.

The spelling of 7730220960 in words is "seven billion, seven hundred thirty million, two hundred twenty thousand, nine hundred sixty".