78096873047536 has 240 divisors, whose sum is σ = 188135472130560. Its totient is φ = 31221137041920.

The previous prime is 78096873047503. The next prime is 78096873047539. The reversal of 78096873047536 is 63574037869087.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78096873047539) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 817489405 + ... + 817584931.

It is an arithmetic number, because the mean of its divisors is an integer number (783897800544).

Almost surely, 2^{78096873047536} is an apocalyptic number.

78096873047536 is a gapful number since it is divisible by the number (76) 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 78096873047536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94067736065280).

78096873047536 is an abundant number, since it is smaller than the sum of its proper divisors (110038599083024).

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

78096873047536 is a wasteful number, since it uses less digits than its factorization.

78096873047536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96412 (or 96399 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 73.

The spelling of 78096873047536 in words is "seventy-eight trillion, ninety-six billion, eight hundred seventy-three million, forty-seven thousand, five hundred thirty-six".