78960438000 has 480 divisors, whose sum is σ = 282100283712. Its totient is φ = 20579328000.

The previous prime is 78960437987. The next prime is 78960438017. The reversal of 78960438000 is 83406987.

It is a happy number.

78960438000 is a `hidden beast` number, since 7 + 8 + 9 + 604 + 38 + 0 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 280999²-1.

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 95 ways as a sum of consecutive naturals, for example, 280997860 + ... + 280998140.

Almost surely, 2^78960438000 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 78960438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141050141856).

78960438000 is an abundant number, since it is smaller than the sum of its proper divisors (203139845712).

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

78960438000 is a wasteful number, since it uses less digits than its factorization.

78960438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 78960438000 in words is "seventy-eight billion, nine hundred sixty million, four hundred thirty-eight thousand".