78800264928 has 432 divisors, whose sum is σ = 285242840064. Its totient is φ = 20404984320.

The previous prime is 78800264927. The next prime is 78800264941. The reversal of 78800264928 is 82946200887.

78800264928 is a `hidden beast` number, since 78 + 80 + 0 + 2 + 6 + 492 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78800264923) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72492801 + ... + 72493887.

It is an arithmetic number, because the mean of its divisors is an integer number (660284352).

Almost surely, 2^78800264928 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 78800264928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142621420032).

78800264928 is an abundant number, since it is smaller than the sum of its proper divisors (206442575136).

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

78800264928 is a wasteful number, since it uses less digits than its factorization.

78800264928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 78800264928 in words is "seventy-eight billion, eight hundred million, two hundred sixty-four thousand, nine hundred twenty-eight".