78220771328 has 240 divisors, whose sum is σ = 188737920000. Its totient is φ = 32369541120.

The previous prime is 78220771313. The next prime is 78220771367. The reversal of 78220771328 is 82317702287.

It is a super-2 number, since 2×78220771328² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174210848 + ... + 174211296.

It is an arithmetic number, because the mean of its divisors is an integer number (786408000).

Almost surely, 2^78220771328 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 78220771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94368960000).

78220771328 is an abundant number, since it is smaller than the sum of its proper divisors (110517148672).

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

78220771328 is an frugal number, since it uses more digits than its factorization.

78220771328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 47.

The spelling of 78220771328 in words is "seventy-eight billion, two hundred twenty million, seven hundred seventy-one thousand, three hundred twenty-eight".