78033430046880 has 576 divisors, whose sum is σ = 335220093831168. Its totient is φ = 16057311713280.

The previous prime is 78033430046849. The next prime is 78033430046941. The reversal of 78033430046880 is 8864003433087.

78033430046880 is a `hidden beast` number, since 78 + 0 + 3 + 3 + 4 + 30 + 0 + 468 + 80 = 666.

78033430046880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8004307 + ... + 14836973.

It is an arithmetic number, because the mean of its divisors is an integer number (581979329568).

Almost surely, 2^{78033430046880} is an apocalyptic number.

78033430046880 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 78033430046880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167610046915584).

78033430046880 is an abundant number, since it is smaller than the sum of its proper divisors (257186663784288).

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

78033430046880 is a wasteful number, since it uses less digits than its factorization.

78033430046880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832809 (or 6832798 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 78033430046880 in words is "seventy-eight trillion, thirty-three billion, four hundred thirty million, forty-six thousand, eight hundred eighty".