78197365680 has 240 divisors, whose sum is σ = 294299139840. Its totient is φ = 16822185984.

The previous prime is 78197365633. The next prime is 78197365681. The reversal of 78197365680 is 8656379187.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×78197365680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (78197365681) 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, 404991 + ... + 566049.

It is an arithmetic number, because the mean of its divisors is an integer number (1226246416).

Almost surely, 2^78197365680 is an apocalyptic number.

78197365680 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 78197365680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147149569920).

78197365680 is an abundant number, since it is smaller than the sum of its proper divisors (216101774160).

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

78197365680 is a wasteful number, since it uses less digits than its factorization.

78197365680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161116 (or 161093 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 78197365680 in words is "seventy-eight billion, one hundred ninety-seven million, three hundred sixty-five thousand, six hundred eighty".