7801345920 has 128 divisors (see below), whose sum is σ = 25669140480. Its totient is φ = 2013235200.

The previous prime is 7801345891. The next prime is 7801345927. The reversal of 7801345920 is 295431087.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7801345927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6016 + ... + 125055.

It is an arithmetic number, because the mean of its divisors is an integer number (200540160).

Almost surely, 2^7801345920 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 7801345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12834570240).

7801345920 is an abundant number, since it is smaller than the sum of its proper divisors (17867794560).

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

7801345920 is a wasteful number, since it uses less digits than its factorization.

7801345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131124 (or 131112 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 7801345920 is about 88325.2281061306. The cubic root of 7801345920 is about 1983.3065452839.

The spelling of 7801345920 in words is "seven billion, eight hundred one million, three hundred forty-five thousand, nine hundred twenty".