7726561920 has 512 divisors, whose sum is σ = 34123161600. Its totient is φ = 1605242880.

The previous prime is 7726561919. The next prime is 7726561933. The reversal of 7726561920 is 291656277.

7726561920 is a `hidden beast` number, since 7 + 7 + 2 + 6 + 5 + 619 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1327657 + ... + 1333463.

It is an arithmetic number, because the mean of its divisors is an integer number (66646800).

Almost surely, 2^7726561920 is an apocalyptic number.

7726561920 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 7726561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061580800).

7726561920 is an abundant number, since it is smaller than the sum of its proper divisors (26396599680).

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

7726561920 is a wasteful number, since it uses less digits than its factorization.

7726561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 7726561920 is about 87900.8641595747. The cubic root of 7726561920 is about 1976.9488359495.

The spelling of 7726561920 in words is "seven billion, seven hundred twenty-six million, five hundred sixty-one thousand, nine hundred twenty".