78714691440 has 480 divisors, whose sum is σ = 309046886400. Its totient is φ = 16222187520.

The previous prime is 78714691423. The next prime is 78714691469. The reversal of 78714691440 is 4419641787.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25815036 + ... + 25818084.

It is an arithmetic number, because the mean of its divisors is an integer number (643847680).

Almost surely, 2^78714691440 is an apocalyptic number.

78714691440 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 78714691440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154523443200).

78714691440 is an abundant number, since it is smaller than the sum of its proper divisors (230332194960).

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

78714691440 is a wasteful number, since it uses less digits than its factorization.

78714691440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 78714691440 in words is "seventy-eight billion, seven hundred fourteen million, six hundred ninety-one thousand, four hundred forty".