7761448920 has 128 divisors (see below), whose sum is σ = 24074496000. Its totient is φ = 1999703040.

The previous prime is 7761448897. The next prime is 7761448921. The reversal of 7761448920 is 298441677.

It is a self number, because there is not a number n which added to its sum of digits gives 7761448920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7761448921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3008191 + ... + 3010769.

It is an arithmetic number, because the mean of its divisors is an integer number (188082000).

Almost surely, 2^7761448920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7761448920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12037248000).

7761448920 is an abundant number, since it is smaller than the sum of its proper divisors (16313047080).

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

7761448920 is a wasteful number, since it uses less digits than its factorization.

7761448920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 7761448920 is about 88099.0858068346. The cubic root of 7761448920 is about 1979.9198110571.

The spelling of 7761448920 in words is "seven billion, seven hundred sixty-one million, four hundred forty-eight thousand, nine hundred twenty".