78175920 has 80 divisors (see below), whose sum is σ = 243412992. Its totient is φ = 20755200.

The previous prime is 78175913. The next prime is 78175921. The reversal of 78175920 is 2957187.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×78175920³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (78175921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67345 + ... + 68495.

Almost surely, 2^78175920 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 78175920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121706496).

78175920 is an abundant number, since it is smaller than the sum of its proper divisors (165237072).

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

78175920 is a wasteful number, since it uses less digits than its factorization.

78175920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 78175920 is about 8841.7147658132. The cubic root of 78175920 is about 427.5868432717.

The spelling of 78175920 in words is "seventy-eight million, one hundred seventy-five thousand, nine hundred twenty".