78793564285440 has 320 divisors, whose sum is σ = 279936315964800. Its totient is φ = 21007487434752.

The previous prime is 78793564285411. The next prime is 78793564285483. The reversal of 78793564285440 is 4458246539787.

78793564285440 is a `hidden beast` number, since 7 + 8 + 7 + 9 + 3 + 56 + 4 + 28 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359936659 + ... + 360155501.

It is an arithmetic number, because the mean of its divisors is an integer number (874800987390).

Almost surely, 2^{78793564285440} 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 78793564285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139968157982400).

78793564285440 is an abundant number, since it is smaller than the sum of its proper divisors (201142751679360).

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

78793564285440 is a wasteful number, since it uses less digits than its factorization.

78793564285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224084 (or 224062 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 72.

The spelling of 78793564285440 in words is "seventy-eight trillion, seven hundred ninety-three billion, five hundred sixty-four million, two hundred eighty-five thousand, four hundred forty".