7812840960 has 640 divisors, whose sum is σ = 30140035200. Its totient is φ = 1911029760.

The previous prime is 7812840953. The next prime is 7812840967. The reversal of 7812840960 is 690482187.

It is an interprime number because it is at equal distance from previous prime (7812840953) and next prime (7812840967).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×7812840960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7812840967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71677386 + ... + 71677494.

It is an arithmetic number, because the mean of its divisors is an integer number (47093805).

Almost surely, 2^7812840960 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 7812840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15070017600).

7812840960 is an abundant number, since it is smaller than the sum of its proper divisors (22327194240).

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

7812840960 is a wasteful number, since it uses less digits than its factorization.

7812840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 7812840960 is about 88390.2763882996. The cubic root of 7812840960 is about 1984.2801806877.

The spelling of 7812840960 in words is "seven billion, eight hundred twelve million, eight hundred forty thousand, nine hundred sixty".