78742778940000 has 1920 divisors, whose sum is σ = 333289313280000. Its totient is φ = 17709449472000.

The previous prime is 78742778939969. The next prime is 78742778940029. The reversal of 78742778940000 is 4987724787.

78742778940000 is a `hidden beast` number, since 7 + 87 + 4 + 2 + 77 + 89 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 78742778940000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 131457059701 + ... + 131457060299.

It is an arithmetic number, because the mean of its divisors is an integer number (173588184000).

Almost surely, 2^{78742778940000} is an apocalyptic number.

78742778940000 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 78742778940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166644656640000).

78742778940000 is an abundant number, since it is smaller than the sum of its proper divisors (254546534340000).

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

78742778940000 is a wasteful number, since it uses less digits than its factorization.

78742778940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

The spelling of 78742778940000 in words is "seventy-eight trillion, seven hundred forty-two billion, seven hundred seventy-eight million, nine hundred forty thousand".