78668261280 has 864 divisors, whose sum is σ = 325254279168. Its totient is φ = 17250508800.

The previous prime is 78668261201. The next prime is 78668261293. The reversal of 78668261280 is 8216286687.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 205399969 + ... + 205400351.

It is an arithmetic number, because the mean of its divisors is an integer number (376451712).

Almost surely, 2^78668261280 is an apocalyptic number.

78668261280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78668261280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162627139584).

78668261280 is an abundant number, since it is smaller than the sum of its proper divisors (246586017888).

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

78668261280 is a wasteful number, since it uses less digits than its factorization.

78668261280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 512 counting only the distinct ones).

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

The spelling of 78668261280 in words is "seventy-eight billion, six hundred sixty-eight million, two hundred sixty-one thousand, two hundred eighty".