78161189760 has 320 divisors, whose sum is σ = 288758368800. Its totient is φ = 20123873280.

The previous prime is 78161189747. The next prime is 78161189779. The reversal of 78161189760 is 6798116187.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×78161189760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78161189697 and 78161189706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1477365 + ... + 1529355.

Almost surely, 2^78161189760 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 78161189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144379184400).

78161189760 is an abundant number, since it is smaller than the sum of its proper divisors (210597179040).

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

78161189760 is a wasteful number, since it uses less digits than its factorization.

78161189760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52051 (or 52030 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 78161189760 in words is "seventy-eight billion, one hundred sixty-one million, one hundred eighty-nine thousand, seven hundred sixty".