78420540016 has 300 divisors, whose sum is σ = 196782664032. Its totient is φ = 30245289984.

The previous prime is 78420540013. The next prime is 78420540049. The reversal of 78420540016 is 61004502487.

It is a super-2 number, since 2×78420540016² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78420540013) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 305138160 + ... + 305138416.

Almost surely, 2^78420540016 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 78420540016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98391332016).

78420540016 is an abundant number, since it is smaller than the sum of its proper divisors (118362124016).

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

78420540016 is a wasteful number, since it uses less digits than its factorization.

78420540016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 78420540016 in words is "seventy-eight billion, four hundred twenty million, five hundred forty thousand, sixteen".