78061164480 has 1344 divisors, whose sum is σ = 322084159488. Its totient is φ = 17856184320.

The previous prime is 78061164473. The next prime is 78061164529. The reversal of 78061164480 is 8446116087.

78061164480 is a `hidden beast` number, since 7 + 8 + 0 + 6 + 1 + 164 + 480 = 666.

It is a super-2 number, since 2×78061164480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1472852134 + ... + 1472852186.

It is an arithmetic number, because the mean of its divisors is an integer number (239645952).

Almost surely, 2^78061164480 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 78061164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161042079744).

78061164480 is an abundant number, since it is smaller than the sum of its proper divisors (244022995008).

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

78061164480 is a wasteful number, since it uses less digits than its factorization.

78061164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 78061164480 in words is "seventy-eight billion, sixty-one million, one hundred sixty-four thousand, four hundred eighty".