78040462817280 has 384 divisors, whose sum is σ = 265270130798400. Its totient is φ = 19586588082176.

The previous prime is 78040462817201. The next prime is 78040462817281. The reversal of 78040462817280 is 8271826404087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 78040462817280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78040462817281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150668824 + ... + 151185896.

Almost surely, 2^{78040462817280} 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 78040462817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132635065399200).

78040462817280 is an abundant number, since it is smaller than the sum of its proper divisors (187229667981120).

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

78040462817280 is an equidigital number, since it uses as much as digits as its factorization.

78040462817280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517154 (or 517100 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 57.

The spelling of 78040462817280 in words is "seventy-eight trillion, forty billion, four hundred sixty-two million, eight hundred seventeen thousand, two hundred eighty".