78607003471920 has 1280 divisors, whose sum is σ = 346252838400000. Its totient is φ = 15914719641600.

The previous prime is 78607003471891. The next prime is 78607003471981. The reversal of 78607003471920 is 2917430070687.

78607003471920 is a `hidden beast` number, since 7 + 8 + 607 + 0 + 0 + 3 + 4 + 7 + 1 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5516660956 + ... + 5516675204.

It is an arithmetic number, because the mean of its divisors is an integer number (270510030000).

Almost surely, 2^{78607003471920} is an apocalyptic number.

78607003471920 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 78607003471920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173126419200000).

78607003471920 is an abundant number, since it is smaller than the sum of its proper divisors (267645834928080).

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

78607003471920 is a wasteful number, since it uses less digits than its factorization.

78607003471920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15139 (or 15127 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 78607003471920 in words is "seventy-eight trillion, six hundred seven billion, three million, four hundred seventy-one thousand, nine hundred twenty".