78440050080 has 672 divisors, whose sum is σ = 331422223104. Its totient is φ = 17145520128.

The previous prime is 78440050067. The next prime is 78440050099. The reversal of 78440050080 is 8005004487.

78440050080 is a `hidden beast` number, since 78 + 4 + 4 + 0 + 0 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18776952 + ... + 18781128.

It is an arithmetic number, because the mean of its divisors is an integer number (493187832).

Almost surely, 2^78440050080 is an apocalyptic number.

78440050080 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 78440050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165711111552).

78440050080 is an abundant number, since it is smaller than the sum of its proper divisors (252982173024).

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

78440050080 is a wasteful number, since it uses less digits than its factorization.

78440050080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 78440050080 in words is "seventy-eight billion, four hundred forty million, fifty thousand, eighty".