78719840 has 48 divisors (see below), whose sum is σ = 189505008. Its totient is φ = 30890496.

The previous prime is 78719801. The next prime is 78719867. The reversal of 78719840 is 4891787.

It is a junction number, because it is equal to n+sod(n) for n = 78719791 and 78719800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3839 + ... + 13121.

It is an arithmetic number, because the mean of its divisors is an integer number (3948021).

Almost surely, 2^78719840 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 78719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94752504).

78719840 is an abundant number, since it is smaller than the sum of its proper divisors (110785168).

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

78719840 is a wasteful number, since it uses less digits than its factorization.

78719840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9351 (or 9343 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 44.

The square root of 78719840 is about 8872.4201884266. The cubic root of 78719840 is about 428.5762175126.

The spelling of 78719840 in words is "seventy-eight million, seven hundred nineteen thousand, eight hundred forty".