7820753925712 has 240 divisors, whose sum is σ = 19251622674432. Its totient is φ = 3012177093120.

The previous prime is 7820753925623. The next prime is 7820753925713. The reversal of 7820753925712 is 2175293570287.

It is a super-2 number, since 2×7820753925712² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7820753925713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169893643 + ... + 169939669.

Almost surely, 2^{7820753925712} 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 7820753925712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9625811337216).

7820753925712 is an abundant number, since it is smaller than the sum of its proper divisors (11430868748720).

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

7820753925712 is a wasteful number, since it uses less digits than its factorization.

7820753925712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46306 (or 46287 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 58.

The spelling of 7820753925712 in words is "seven trillion, eight hundred twenty billion, seven hundred fifty-three million, nine hundred twenty-five thousand, seven hundred twelve".