78160588800 has 624 divisors, whose sum is σ = 311043068160. Its totient is φ = 16916152320.

The previous prime is 78160588799. The next prime is 78160588811. The reversal of 78160588800 is 888506187.

It is a happy number.

It is a super-2 number, since 2×78160588800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40856644 + ... + 40858556.

Almost surely, 2^78160588800 is an apocalyptic number.

78160588800 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 78160588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155521534080).

78160588800 is an abundant number, since it is smaller than the sum of its proper divisors (232882479360).

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

78160588800 is a wasteful number, since it uses less digits than its factorization.

78160588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 51.

The spelling of 78160588800 in words is "seventy-eight billion, one hundred sixty million, five hundred eighty-eight thousand, eight hundred".