78460462080000 has 6720 divisors, whose sum is σ = 401885600941440. Its totient is φ = 15049359360000.

The previous prime is 78460462079981. The next prime is 78460462080031. The reversal of 78460462080000 is 8026406487.

78460462080000 is a `hidden beast` number, since 78 + 46 + 0 + 462 + 0 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6035420159994 + ... + 6035420160006.

It is an arithmetic number, because the mean of its divisors is an integer number (59804404902).

Almost surely, 2^{78460462080000} is an apocalyptic number.

78460462080000 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 78460462080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200942800470720).

78460462080000 is an abundant number, since it is smaller than the sum of its proper divisors (323425138861440).

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

78460462080000 is an frugal number, since it uses more digits than its factorization.

78460462080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

Adding to 78460462080000 its reverse (8026406487), we get a palindrome (78468488486487).

The spelling of 78460462080000 in words is "seventy-eight trillion, four hundred sixty billion, four hundred sixty-two million, eighty thousand".