78520000416 has 96 divisors (see below), whose sum is σ = 242149134528. Its totient is φ = 21963632640.

The previous prime is 78520000399. The next prime is 78520000421. The reversal of 78520000416 is 61400002587.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2846121 + ... + 2873576.

It is an arithmetic number, because the mean of its divisors is an integer number (2522386818).

Almost surely, 2^78520000416 is an apocalyptic number.

It is an amenable number.

78520000416 is an abundant number, since it is smaller than the sum of its proper divisors (163629134112).

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

78520000416 is a wasteful number, since it uses less digits than its factorization.

78520000416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719734 (or 5719726 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 78520000416 in words is "seventy-eight billion, five hundred twenty million, four hundred sixteen", and thus it is an aban number.