78447237120 has 1152 divisors, whose sum is σ = 344410859520. Its totient is φ = 16090398720.

The previous prime is 78447237119. The next prime is 78447237149. The reversal of 78447237120 is 2173274487.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252241765 + ... + 252242075.

It is an arithmetic number, because the mean of its divisors is an integer number (298967760).

Almost surely, 2^78447237120 is an apocalyptic number.

78447237120 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 78447237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172205429760).

78447237120 is an abundant number, since it is smaller than the sum of its proper divisors (265963622400).

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

78447237120 is a wasteful number, since it uses less digits than its factorization.

78447237120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 78447237120 in words is "seventy-eight billion, four hundred forty-seven million, two hundred thirty-seven thousand, one hundred twenty".