78871458960 has 480 divisors, whose sum is σ = 308163847680. Its totient is φ = 17706442752.

The previous prime is 78871458907. The next prime is 78871458971. The reversal of 78871458960 is 6985417887.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71118886 + ... + 71119994.

It is an arithmetic number, because the mean of its divisors is an integer number (642008016).

Almost surely, 2^78871458960 is an apocalyptic number.

78871458960 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 78871458960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154081923840).

78871458960 is an abundant number, since it is smaller than the sum of its proper divisors (229292388720).

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

78871458960 is a wasteful number, since it uses less digits than its factorization.

78871458960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 78871458960 in words is "seventy-eight billion, eight hundred seventy-one million, four hundred fifty-eight thousand, nine hundred sixty".