78196970592 has 288 divisors, whose sum is σ = 249559500960. Its totient is φ = 23808245760.

The previous prime is 78196970591. The next prime is 78196970623. The reversal of 78196970592 is 29507969187.

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

It is a super-2 number, since 2×78196970592² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78196970591) 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, 14160792 + ... + 14166312.

It is an arithmetic number, because the mean of its divisors is an integer number (866526045).

Almost surely, 2^78196970592 is an apocalyptic number.

78196970592 is a gapful number since it is divisible by the number (72) 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 78196970592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124779750480).

78196970592 is an abundant number, since it is smaller than the sum of its proper divisors (171362530368).

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

78196970592 is a wasteful number, since it uses less digits than its factorization.

78196970592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663 (or 5636 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 78196970592 in words is "seventy-eight billion, one hundred ninety-six million, nine hundred seventy thousand, five hundred ninety-two".