78203957760 has 400 divisors, whose sum is σ = 287700409656. Its totient is φ = 20288765952.

The previous prime is 78203957749. The next prime is 78203957779. The reversal of 78203957760 is 6775930287.

78203957760 is a `hidden beast` number, since 7 + 8 + 2 + 0 + 3 + 9 + 577 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76999590144 + 1204367616 = 277488^2 + 34704^2 .

It is a super-2 number, since 2×78203957760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78203957697 and 78203957706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7667224 + ... + 7677416.

Almost surely, 2^78203957760 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 78203957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143850204828).

78203957760 is an abundant number, since it is smaller than the sum of its proper divisors (209496451896).

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

78203957760 is a wasteful number, since it uses less digits than its factorization.

78203957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10265 (or 10240 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 78203957760 in words is "seventy-eight billion, two hundred three million, nine hundred fifty-seven thousand, seven hundred sixty".