78649344000 has 720 divisors, whose sum is σ = 301423895136. Its totient is φ = 19660800000.

The previous prime is 78649343999. The next prime is 78649344023. The reversal of 78649344000 is 44394687.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313343875 + ... + 313344125.

Almost surely, 2^78649344000 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 78649344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150711947568).

78649344000 is an abundant number, since it is smaller than the sum of its proper divisors (222774551136).

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

78649344000 is a wasteful number, since it uses less digits than its factorization.

78649344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 78649344000 in words is "seventy-eight billion, six hundred forty-nine million, three hundred forty-four thousand".