78234932160 has 560 divisors, whose sum is σ = 346974566400. Its totient is φ = 16256194560.

The previous prime is 78234932129. The next prime is 78234932173. The reversal of 78234932160 is 6123943287.

78234932160 is a `hidden beast` number, since 7 + 82 + 3 + 493 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×78234932160² (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 79 ways as a sum of consecutive naturals, for example, 1976241 + ... + 2015439.

It is an arithmetic number, because the mean of its divisors is an integer number (619597440).

Almost surely, 2^78234932160 is an apocalyptic number.

78234932160 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 78234932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173487283200).

78234932160 is an abundant number, since it is smaller than the sum of its proper divisors (268739634240).

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

78234932160 is a wasteful number, since it uses less digits than its factorization.

78234932160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39246 (or 39227 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 78234932160 in words is "seventy-eight billion, two hundred thirty-four million, nine hundred thirty-two thousand, one hundred sixty".