78196307616 has 288 divisors, whose sum is σ = 264279794688. Its totient is φ = 21460930560.

The previous prime is 78196307611. The next prime is 78196307627. The reversal of 78196307616 is 61670369187.

It is a happy number.

78196307616 is a `hidden beast` number, since 7 + 8 + 19 + 6 + 3 + 0 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×78196307616² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (78196307611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8557386 + ... + 8566518.

It is an arithmetic number, because the mean of its divisors is an integer number (917638176).

Almost surely, 2^78196307616 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 78196307616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132139897344).

78196307616 is an abundant number, since it is smaller than the sum of its proper divisors (186083487072).

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

78196307616 is a wasteful number, since it uses less digits than its factorization.

78196307616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9324 (or 9313 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 78196307616 in words is "seventy-eight billion, one hundred ninety-six million, three hundred seven thousand, six hundred sixteen".